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Finding the Third Proportional to 98,730,798 and 212,633,784

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Solution

The third proportional to 98,730,798 and 212,633,784 is: 457,943,488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,730,798 : 212,633,784 = 212,633,784 : x
  2. Step 2: Convert to fraction form
    98,730,798/212,633,784 = 212,633,784/x
  3. Step 3: Cross multiply
    98,730,798x = 212,633,784 × 212,633,784
  4. Step 4: Simplify right side
    98,730,798x = 45,213,126,098,158,656
  5. Step 5: Solve for x
    x = 45,213,126,098,158,656/98,730,798
  6. Step 6: Final answer
    x = 457,943,488.90

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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.