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Finding the Third Proportional to 102,472,506 and 223,139,444

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Solution

The third proportional to 102,472,506 and 223,139,444 is: 485,898,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,472,506 : 223,139,444 = 223,139,444 : x
  2. Step 2: Convert to fraction form
    102,472,506/223,139,444 = 223,139,444/x
  3. Step 3: Cross multiply
    102,472,506x = 223,139,444 × 223,139,444
  4. Step 4: Simplify right side
    102,472,506x = 49,791,211,468,629,136
  5. Step 5: Solve for x
    x = 49,791,211,468,629,136/102,472,506
  6. Step 6: Final answer
    x = 485,898,251.27

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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.