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Finding the Third Proportional to 69,475,772 and 102,192,807

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Solution

The third proportional to 69,475,772 and 102,192,807 is: 150,316,714.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,475,772 : 102,192,807 = 102,192,807 : x
  2. Step 2: Convert to fraction form
    69,475,772/102,192,807 = 102,192,807/x
  3. Step 3: Cross multiply
    69,475,772x = 102,192,807 × 102,192,807
  4. Step 4: Simplify right side
    69,475,772x = 10,443,369,802,539,248
  5. Step 5: Solve for x
    x = 10,443,369,802,539,248/69,475,772
  6. Step 6: Final answer
    x = 150,316,714.76

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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.