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Finding the Third Proportional to 64,308,927 and 136,913,442

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Solution

The third proportional to 64,308,927 and 136,913,442 is: 291,488,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,308,927 : 136,913,442 = 136,913,442 : x
  2. Step 2: Convert to fraction form
    64,308,927/136,913,442 = 136,913,442/x
  3. Step 3: Cross multiply
    64,308,927x = 136,913,442 × 136,913,442
  4. Step 4: Simplify right side
    64,308,927x = 18,745,290,600,287,364
  5. Step 5: Solve for x
    x = 18,745,290,600,287,364/64,308,927
  6. Step 6: Final answer
    x = 291,488,156.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.