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Finding the Third Proportional to 240,406,838 and 359,195,052

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Solution

The third proportional to 240,406,838 and 359,195,052 is: 536,678,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,406,838 : 359,195,052 = 359,195,052 : x
  2. Step 2: Convert to fraction form
    240,406,838/359,195,052 = 359,195,052/x
  3. Step 3: Cross multiply
    240,406,838x = 359,195,052 × 359,195,052
  4. Step 4: Simplify right side
    240,406,838x = 129,021,085,381,282,704
  5. Step 5: Solve for x
    x = 129,021,085,381,282,704/240,406,838
  6. Step 6: Final answer
    x = 536,678,101.40

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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.