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Finding the Third Proportional to 69,475,771 and 102,192,805.50

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Solution

The third proportional to 69,475,771 and 102,192,805.50 is: 150,316,712.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,475,771 : 102,192,805.50 = 102,192,805.50 : x
  2. Step 2: Convert to fraction form
    69,475,771/102,192,805.50 = 102,192,805.50/x
  3. Step 3: Cross multiply
    69,475,771x = 102,192,805.50 × 102,192,805.50
  4. Step 4: Simplify right side
    69,475,771x = 10,443,369,495,960,830
  5. Step 5: Solve for x
    x = 10,443,369,495,960,830/69,475,771
  6. Step 6: Final answer
    x = 150,316,712.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.