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Finding the Third Proportional to 98,689,542 and 213,853,748

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Solution

The third proportional to 98,689,542 and 213,853,748 is: 463,407,009.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,689,542 : 213,853,748 = 213,853,748 : x
  2. Step 2: Convert to fraction form
    98,689,542/213,853,748 = 213,853,748/x
  3. Step 3: Cross multiply
    98,689,542x = 213,853,748 × 213,853,748
  4. Step 4: Simplify right side
    98,689,542x = 45,733,425,533,647,504
  5. Step 5: Solve for x
    x = 45,733,425,533,647,504/98,689,542
  6. Step 6: Final answer
    x = 463,407,009.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.