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Finding the Third Proportional to 237,822,943.50 and 363,842,536.50

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Solution

The third proportional to 237,822,943.50 and 363,842,536.50 is: 556,638,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,822,943.50 : 363,842,536.50 = 363,842,536.50 : x
  2. Step 2: Convert to fraction form
    237,822,943.50/363,842,536.50 = 363,842,536.50/x
  3. Step 3: Cross multiply
    237,822,943.50x = 363,842,536.50 × 363,842,536.50
  4. Step 4: Simplify right side
    237,822,943.50x = 132,381,391,366,753,840
  5. Step 5: Solve for x
    x = 132,381,391,366,753,840/237,822,943.50
  6. Step 6: Final answer
    x = 556,638,436.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.