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Finding the Third Proportional to 240,406,840 and 359,195,055

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Solution

The third proportional to 240,406,840 and 359,195,055 is: 536,678,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,406,840 : 359,195,055 = 359,195,055 : x
  2. Step 2: Convert to fraction form
    240,406,840/359,195,055 = 359,195,055/x
  3. Step 3: Cross multiply
    240,406,840x = 359,195,055 × 359,195,055
  4. Step 4: Simplify right side
    240,406,840x = 129,021,087,536,453,024
  5. Step 5: Solve for x
    x = 129,021,087,536,453,024/240,406,840
  6. Step 6: Final answer
    x = 536,678,105.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.