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Finding the Third Proportional to 69,668,196 and 97,442,586

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Solution

The third proportional to 69,668,196 and 97,442,586 is: 136,289,700.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,668,196 : 97,442,586 = 97,442,586 : x
  2. Step 2: Convert to fraction form
    69,668,196/97,442,586 = 97,442,586/x
  3. Step 3: Cross multiply
    69,668,196x = 97,442,586 × 97,442,586
  4. Step 4: Simplify right side
    69,668,196x = 9,495,057,566,367,396
  5. Step 5: Solve for x
    x = 9,495,057,566,367,396/69,668,196
  6. Step 6: Final answer
    x = 136,289,700.49

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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.