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Finding the Third Proportional to 102,472,371 and 223,139,259

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Solution

The third proportional to 102,472,371 and 223,139,259 is: 485,898,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,472,371 : 223,139,259 = 223,139,259 : x
  2. Step 2: Convert to fraction form
    102,472,371/223,139,259 = 223,139,259/x
  3. Step 3: Cross multiply
    102,472,371x = 223,139,259 × 223,139,259
  4. Step 4: Simplify right side
    102,472,371x = 49,791,128,907,069,080
  5. Step 5: Solve for x
    x = 49,791,128,907,069,080/102,472,371
  6. Step 6: Final answer
    x = 485,898,085.71

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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.