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Finding the Third Proportional to 216,859,497.75 and 330,373,900.13

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Solution

The third proportional to 216,859,497.75 and 330,373,900.13 is: 503,307,049.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,859,497.75 : 330,373,900.13 = 330,373,900.13 : x
  2. Step 2: Convert to fraction form
    216,859,497.75/330,373,900.13 = 330,373,900.13/x
  3. Step 3: Cross multiply
    216,859,497.75x = 330,373,900.13 × 330,373,900.13
  4. Step 4: Simplify right side
    216,859,497.75x = 109,146,913,883,803,472
  5. Step 5: Solve for x
    x = 109,146,913,883,803,472/216,859,497.75
  6. Step 6: Final answer
    x = 503,307,049.11

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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.