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Finding the Third Proportional to 98,774,384 and 212,719,714

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Solution

The third proportional to 98,774,384 and 212,719,714 is: 458,111,454.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,774,384 : 212,719,714 = 212,719,714 : x
  2. Step 2: Convert to fraction form
    98,774,384/212,719,714 = 212,719,714/x
  3. Step 3: Cross multiply
    98,774,384x = 212,719,714 × 212,719,714
  4. Step 4: Simplify right side
    98,774,384x = 45,249,676,724,241,792
  5. Step 5: Solve for x
    x = 45,249,676,724,241,792/98,774,384
  6. Step 6: Final answer
    x = 458,111,454.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.