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Finding the Third Proportional to 102,472,503.75 and 223,139,440

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Solution

The third proportional to 102,472,503.75 and 223,139,440 is: 485,898,244.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,472,503.75 : 223,139,440 = 223,139,440 : x
  2. Step 2: Convert to fraction form
    102,472,503.75/223,139,440 = 223,139,440/x
  3. Step 3: Cross multiply
    102,472,503.75x = 223,139,440 × 223,139,440
  4. Step 4: Simplify right side
    102,472,503.75x = 49,791,209,683,513,600
  5. Step 5: Solve for x
    x = 49,791,209,683,513,600/102,472,503.75
  6. Step 6: Final answer
    x = 485,898,244.52

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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.