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Finding the Third Proportional to 98,230,434 and 213,887,910

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Solution

The third proportional to 98,230,434 and 213,887,910 is: 465,721,632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,230,434 : 213,887,910 = 213,887,910 : x
  2. Step 2: Convert to fraction form
    98,230,434/213,887,910 = 213,887,910/x
  3. Step 3: Cross multiply
    98,230,434x = 213,887,910 × 213,887,910
  4. Step 4: Simplify right side
    98,230,434x = 45,748,038,044,168,096
  5. Step 5: Solve for x
    x = 45,748,038,044,168,096/98,230,434
  6. Step 6: Final answer
    x = 465,721,632.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.