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Finding the Third Proportional to 76,968,632 and 165,968,032

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Solution

The third proportional to 76,968,632 and 165,968,032 is: 357,878,098.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,968,632 : 165,968,032 = 165,968,032 : x
  2. Step 2: Convert to fraction form
    76,968,632/165,968,032 = 165,968,032/x
  3. Step 3: Cross multiply
    76,968,632x = 165,968,032 × 165,968,032
  4. Step 4: Simplify right side
    76,968,632x = 27,545,387,645,953,024
  5. Step 5: Solve for x
    x = 27,545,387,645,953,024/76,968,632
  6. Step 6: Final answer
    x = 357,878,098.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.