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Finding the Third Proportional to 193,806,373.78 and 297,894,411.28

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Solution

The third proportional to 193,806,373.78 and 297,894,411.28 is: 457,885,251.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,806,373.78 : 297,894,411.28 = 297,894,411.28 : x
  2. Step 2: Convert to fraction form
    193,806,373.78/297,894,411.28 = 297,894,411.28/x
  3. Step 3: Cross multiply
    193,806,373.78x = 297,894,411.28 × 297,894,411.28
  4. Step 4: Simplify right side
    193,806,373.78x = 88,741,080,272,596,560
  5. Step 5: Solve for x
    x = 88,741,080,272,596,560/193,806,373.78
  6. Step 6: Final answer
    x = 457,885,251.87

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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.