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Finding the Third Proportional to 102,472,474.50 and 223,139,416.50

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Solution

The third proportional to 102,472,474.50 and 223,139,416.50 is: 485,898,280.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,472,474.50 : 223,139,416.50 = 223,139,416.50 : x
  2. Step 2: Convert to fraction form
    102,472,474.50/223,139,416.50 = 223,139,416.50/x
  3. Step 3: Cross multiply
    102,472,474.50x = 223,139,416.50 × 223,139,416.50
  4. Step 4: Simplify right side
    102,472,474.50x = 49,791,199,195,960,472
  5. Step 5: Solve for x
    x = 49,791,199,195,960,472/102,472,474.50
  6. Step 6: Final answer
    x = 485,898,280.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.