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Finding the Third Proportional to 242,443,617.75 and 369,718,495.88

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Solution

The third proportional to 242,443,617.75 and 369,718,495.88 is: 563,808,474.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,443,617.75 : 369,718,495.88 = 369,718,495.88 : x
  2. Step 2: Convert to fraction form
    242,443,617.75/369,718,495.88 = 369,718,495.88/x
  3. Step 3: Cross multiply
    242,443,617.75x = 369,718,495.88 × 369,718,495.88
  4. Step 4: Simplify right side
    242,443,617.75x = 136,691,766,192,072,400
  5. Step 5: Solve for x
    x = 136,691,766,192,072,400/242,443,617.75
  6. Step 6: Final answer
    x = 563,808,474.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.