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Finding the Third Proportional to 84,495,522 and 178,069,830

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Solution

The third proportional to 84,495,522 and 178,069,830 is: 375,272,719.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,495,522 : 178,069,830 = 178,069,830 : x
  2. Step 2: Convert to fraction form
    84,495,522/178,069,830 = 178,069,830/x
  3. Step 3: Cross multiply
    84,495,522x = 178,069,830 × 178,069,830
  4. Step 4: Simplify right side
    84,495,522x = 31,708,864,356,228,900
  5. Step 5: Solve for x
    x = 31,708,864,356,228,900/84,495,522
  6. Step 6: Final answer
    x = 375,272,719.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.