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Finding the Third Proportional to 269,538,862.50 and 414,044,696.25

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Solution

The third proportional to 269,538,862.50 and 414,044,696.25 is: 636,023,350.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,538,862.50 : 414,044,696.25 = 414,044,696.25 : x
  2. Step 2: Convert to fraction form
    269,538,862.50/414,044,696.25 = 414,044,696.25/x
  3. Step 3: Cross multiply
    269,538,862.50x = 414,044,696.25 × 414,044,696.25
  4. Step 4: Simplify right side
    269,538,862.50x = 171,433,010,492,754,752
  5. Step 5: Solve for x
    x = 171,433,010,492,754,752/269,538,862.50
  6. Step 6: Final answer
    x = 636,023,350.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.