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Finding the Third Proportional to 144,093,841.75 and 310,071,897.50

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Solution

The third proportional to 144,093,841.75 and 310,071,897.50 is: 667,235,882.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,093,841.75 : 310,071,897.50 = 310,071,897.50 : x
  2. Step 2: Convert to fraction form
    144,093,841.75/310,071,897.50 = 310,071,897.50/x
  3. Step 3: Cross multiply
    144,093,841.75x = 310,071,897.50 × 310,071,897.50
  4. Step 4: Simplify right side
    144,093,841.75x = 96,144,581,619,250,512
  5. Step 5: Solve for x
    x = 96,144,581,619,250,512/144,093,841.75
  6. Step 6: Final answer
    x = 667,235,882.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.