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Finding the Third Proportional to 77,264,948 and 165,746,160

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Solution

The third proportional to 77,264,948 and 165,746,160 is: 355,553,071.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,264,948 : 165,746,160 = 165,746,160 : x
  2. Step 2: Convert to fraction form
    77,264,948/165,746,160 = 165,746,160/x
  3. Step 3: Cross multiply
    77,264,948x = 165,746,160 × 165,746,160
  4. Step 4: Simplify right side
    77,264,948x = 27,471,789,554,745,600
  5. Step 5: Solve for x
    x = 27,471,789,554,745,600/77,264,948
  6. Step 6: Final answer
    x = 355,553,071.16

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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.