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Finding the Third Proportional to 102,766,275.70 and 210,980,500.82

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Solution

The third proportional to 102,766,275.70 and 210,980,500.82 is: 433,145,712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,766,275.70 : 210,980,500.82 = 210,980,500.82 : x
  2. Step 2: Convert to fraction form
    102,766,275.70/210,980,500.82 = 210,980,500.82/x
  3. Step 3: Cross multiply
    102,766,275.70x = 210,980,500.82 × 210,980,500.82
  4. Step 4: Simplify right side
    102,766,275.70x = 44,512,771,727,220,088
  5. Step 5: Solve for x
    x = 44,512,771,727,220,088/102,766,275.70
  6. Step 6: Final answer
    x = 433,145,712.66

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.