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Finding the Third Proportional to 102,053,115 and 157,592,000.25

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Solution

The third proportional to 102,053,115 and 157,592,000.25 is: 243,356,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,053,115 : 157,592,000.25 = 157,592,000.25 : x
  2. Step 2: Convert to fraction form
    102,053,115/157,592,000.25 = 157,592,000.25/x
  3. Step 3: Cross multiply
    102,053,115x = 157,592,000.25 × 157,592,000.25
  4. Step 4: Simplify right side
    102,053,115x = 24,835,238,542,796,000
  5. Step 5: Solve for x
    x = 24,835,238,542,796,000/102,053,115
  6. Step 6: Final answer
    x = 243,356,006.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.