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Finding the Third Proportional to 273,237,718.50 and 399,608,929.13

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Solution

The third proportional to 273,237,718.50 and 399,608,929.13 is: 584,426,253.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,237,718.50 : 399,608,929.13 = 399,608,929.13 : x
  2. Step 2: Convert to fraction form
    273,237,718.50/399,608,929.13 = 399,608,929.13/x
  3. Step 3: Cross multiply
    273,237,718.50x = 399,608,929.13 × 399,608,929.13
  4. Step 4: Simplify right side
    273,237,718.50x = 159,687,296,236,429,280
  5. Step 5: Solve for x
    x = 159,687,296,236,429,280/273,237,718.50
  6. Step 6: Final answer
    x = 584,426,253.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.