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Finding the Third Proportional to 144,948,528 and 219,532,700.25

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Solution

The third proportional to 144,948,528 and 219,532,700.25 is: 332,494,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,948,528 : 219,532,700.25 = 219,532,700.25 : x
  2. Step 2: Convert to fraction form
    144,948,528/219,532,700.25 = 219,532,700.25/x
  3. Step 3: Cross multiply
    144,948,528x = 219,532,700.25 × 219,532,700.25
  4. Step 4: Simplify right side
    144,948,528x = 48,194,606,479,056,352
  5. Step 5: Solve for x
    x = 48,194,606,479,056,352/144,948,528
  6. Step 6: Final answer
    x = 332,494,625.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.