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Finding the Third Proportional to 182,369,326.50 and 392,435,803.13

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Solution

The third proportional to 182,369,326.50 and 392,435,803.13 is: 844,472,382.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,369,326.50 : 392,435,803.13 = 392,435,803.13 : x
  2. Step 2: Convert to fraction form
    182,369,326.50/392,435,803.13 = 392,435,803.13/x
  3. Step 3: Cross multiply
    182,369,326.50x = 392,435,803.13 × 392,435,803.13
  4. Step 4: Simplify right side
    182,369,326.50x = 154,005,859,574,363,744
  5. Step 5: Solve for x
    x = 154,005,859,574,363,744/182,369,326.50
  6. Step 6: Final answer
    x = 844,472,382.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.