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Finding the Third Proportional to 77,161,688 and 166,438,708

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Solution

The third proportional to 77,161,688 and 166,438,708 is: 359,010,335.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,161,688 : 166,438,708 = 166,438,708 : x
  2. Step 2: Convert to fraction form
    77,161,688/166,438,708 = 166,438,708/x
  3. Step 3: Cross multiply
    77,161,688x = 166,438,708 × 166,438,708
  4. Step 4: Simplify right side
    77,161,688x = 27,701,843,520,709,264
  5. Step 5: Solve for x
    x = 27,701,843,520,709,264/77,161,688
  6. Step 6: Final answer
    x = 359,010,335.81

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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.