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Finding the Third Proportional to 98,907,538 and 145,398,468

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Solution

The third proportional to 98,907,538 and 145,398,468 is: 213,742,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,907,538 : 145,398,468 = 145,398,468 : x
  2. Step 2: Convert to fraction form
    98,907,538/145,398,468 = 145,398,468/x
  3. Step 3: Cross multiply
    98,907,538x = 145,398,468 × 145,398,468
  4. Step 4: Simplify right side
    98,907,538x = 21,140,714,496,747,024
  5. Step 5: Solve for x
    x = 21,140,714,496,747,024/98,907,538
  6. Step 6: Final answer
    x = 213,742,197.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.