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Finding the Third Proportional to 98,546,058 and 212,673,051

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Solution

The third proportional to 98,546,058 and 212,673,051 is: 458,971,444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,546,058 : 212,673,051 = 212,673,051 : x
  2. Step 2: Convert to fraction form
    98,546,058/212,673,051 = 212,673,051/x
  3. Step 3: Cross multiply
    98,546,058x = 212,673,051 × 212,673,051
  4. Step 4: Simplify right side
    98,546,058x = 45,229,826,621,648,600
  5. Step 5: Solve for x
    x = 45,229,826,621,648,600/98,546,058
  6. Step 6: Final answer
    x = 458,971,444.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.