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Finding the Third Proportional to 104,731,578 and 220,316,508

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Solution

The third proportional to 104,731,578 and 220,316,508 is: 463,464,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,731,578 : 220,316,508 = 220,316,508 : x
  2. Step 2: Convert to fraction form
    104,731,578/220,316,508 = 220,316,508/x
  3. Step 3: Cross multiply
    104,731,578x = 220,316,508 × 220,316,508
  4. Step 4: Simplify right side
    104,731,578x = 48,539,363,697,314,064
  5. Step 5: Solve for x
    x = 48,539,363,697,314,064/104,731,578
  6. Step 6: Final answer
    x = 463,464,454.79

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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.