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Finding the Third Proportional to 98,420,024 and 229,953,584

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Solution

The third proportional to 98,420,024 and 229,953,584 is: 537,275,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,420,024 : 229,953,584 = 229,953,584 : x
  2. Step 2: Convert to fraction form
    98,420,024/229,953,584 = 229,953,584/x
  3. Step 3: Cross multiply
    98,420,024x = 229,953,584 × 229,953,584
  4. Step 4: Simplify right side
    98,420,024x = 52,878,650,794,445,056
  5. Step 5: Solve for x
    x = 52,878,650,794,445,056/98,420,024
  6. Step 6: Final answer
    x = 537,275,329.20

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.