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Finding the Third Proportional to 114,656,400 and 249,467,832

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Solution

The third proportional to 114,656,400 and 249,467,832 is: 542,788,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,656,400 : 249,467,832 = 249,467,832 : x
  2. Step 2: Convert to fraction form
    114,656,400/249,467,832 = 249,467,832/x
  3. Step 3: Cross multiply
    114,656,400x = 249,467,832 × 249,467,832
  4. Step 4: Simplify right side
    114,656,400x = 62,234,199,202,780,224
  5. Step 5: Solve for x
    x = 62,234,199,202,780,224/114,656,400
  6. Step 6: Final answer
    x = 542,788,707.85

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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.