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Finding the Third Proportional to 104,731,574 and 220,316,498

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Solution

The third proportional to 104,731,574 and 220,316,498 is: 463,464,430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,731,574 : 220,316,498 = 220,316,498 : x
  2. Step 2: Convert to fraction form
    104,731,574/220,316,498 = 220,316,498/x
  3. Step 3: Cross multiply
    104,731,574x = 220,316,498 × 220,316,498
  4. Step 4: Simplify right side
    104,731,574x = 48,539,359,290,984,000
  5. Step 5: Solve for x
    x = 48,539,359,290,984,000/104,731,574
  6. Step 6: Final answer
    x = 463,464,430.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.