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Finding the Third Proportional to 69,668,192 and 97,442,580

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Solution

The third proportional to 69,668,192 and 97,442,580 is: 136,289,691.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,668,192 : 97,442,580 = 97,442,580 : x
  2. Step 2: Convert to fraction form
    69,668,192/97,442,580 = 97,442,580/x
  3. Step 3: Cross multiply
    69,668,192x = 97,442,580 × 97,442,580
  4. Step 4: Simplify right side
    69,668,192x = 9,495,056,397,056,400
  5. Step 5: Solve for x
    x = 9,495,056,397,056,400/69,668,192
  6. Step 6: Final answer
    x = 136,289,691.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.