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Finding the Third Proportional to 118,340,479,237.50 and 253,436,947,659

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Solution

The third proportional to 118,340,479,237.50 and 253,436,947,659 is: 542,758,376,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,340,479,237.50 : 253,436,947,659 = 253,436,947,659 : x
  2. Step 2: Convert to fraction form
    118,340,479,237.50/253,436,947,659 = 253,436,947,659/x
  3. Step 3: Cross multiply
    118,340,479,237.50x = 253,436,947,659 × 253,436,947,659
  4. Step 4: Simplify right side
    118,340,479,237.50x = 64,230,286,438,710,707,748,864
  5. Step 5: Solve for x
    x = 64,230,286,438,710,707,748,864/118,340,479,237.50
  6. Step 6: Final answer
    x = 542,758,376,952.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.