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Finding the Third Proportional to 103,659,284 and 239,977,778

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Solution

The third proportional to 103,659,284 and 239,977,778 is: 555,563,686.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,659,284 : 239,977,778 = 239,977,778 : x
  2. Step 2: Convert to fraction form
    103,659,284/239,977,778 = 239,977,778/x
  3. Step 3: Cross multiply
    103,659,284x = 239,977,778 × 239,977,778
  4. Step 4: Simplify right side
    103,659,284x = 57,589,333,933,817,280
  5. Step 5: Solve for x
    x = 57,589,333,933,817,280/103,659,284
  6. Step 6: Final answer
    x = 555,563,686.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.