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Finding the Third Proportional to 95,386,632 and 206,619,729

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Solution

The third proportional to 95,386,632 and 206,619,729 is: 447,564,941.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,386,632 : 206,619,729 = 206,619,729 : x
  2. Step 2: Convert to fraction form
    95,386,632/206,619,729 = 206,619,729/x
  3. Step 3: Cross multiply
    95,386,632x = 206,619,729 × 206,619,729
  4. Step 4: Simplify right side
    95,386,632x = 42,691,712,412,033,440
  5. Step 5: Solve for x
    x = 42,691,712,412,033,440/95,386,632
  6. Step 6: Final answer
    x = 447,564,941.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.