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Finding the Third Proportional to 210,984,746,134.50 and 452,597,375,565.50

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Solution

The third proportional to 210,984,746,134.50 and 452,597,375,565.50 is: 970,896,655,430.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,984,746,134.50 : 452,597,375,565.50 = 452,597,375,565.50 : x
  2. Step 2: Convert to fraction form
    210,984,746,134.50/452,597,375,565.50 = 452,597,375,565.50/x
  3. Step 3: Cross multiply
    210,984,746,134.50x = 452,597,375,565.50 × 452,597,375,565.50
  4. Step 4: Simplify right side
    210,984,746,134.50x = 204,844,384,368,778,257,891,328
  5. Step 5: Solve for x
    x = 204,844,384,368,778,257,891,328/210,984,746,134.50
  6. Step 6: Final answer
    x = 970,896,655,430.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.