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Finding the Third Proportional to 176,572,360 and 412,421,498.50

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Solution

The third proportional to 176,572,360 and 412,421,498.50 is: 963,296,251.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,572,360 : 412,421,498.50 = 412,421,498.50 : x
  2. Step 2: Convert to fraction form
    176,572,360/412,421,498.50 = 412,421,498.50/x
  3. Step 3: Cross multiply
    176,572,360x = 412,421,498.50 × 412,421,498.50
  4. Step 4: Simplify right side
    176,572,360x = 170,091,492,424,985,504
  5. Step 5: Solve for x
    x = 170,091,492,424,985,504/176,572,360
  6. Step 6: Final answer
    x = 963,296,251.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.