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Finding the Third Proportional to 84,157,060 and 114,042,822

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Solution

The third proportional to 84,157,060 and 114,042,822 is: 154,541,582.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,157,060 : 114,042,822 = 114,042,822 : x
  2. Step 2: Convert to fraction form
    84,157,060/114,042,822 = 114,042,822/x
  3. Step 3: Cross multiply
    84,157,060x = 114,042,822 × 114,042,822
  4. Step 4: Simplify right side
    84,157,060x = 13,005,765,249,723,684
  5. Step 5: Solve for x
    x = 13,005,765,249,723,684/84,157,060
  6. Step 6: Final answer
    x = 154,541,582.72

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.