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Finding the Third Proportional to 98,689,584 and 213,853,830

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Solution

The third proportional to 98,689,584 and 213,853,830 is: 463,407,167.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,689,584 : 213,853,830 = 213,853,830 : x
  2. Step 2: Convert to fraction form
    98,689,584/213,853,830 = 213,853,830/x
  3. Step 3: Cross multiply
    98,689,584x = 213,853,830 × 213,853,830
  4. Step 4: Simplify right side
    98,689,584x = 45,733,460,605,668,896
  5. Step 5: Solve for x
    x = 45,733,460,605,668,896/98,689,584
  6. Step 6: Final answer
    x = 463,407,167.73

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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.