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Finding the Third Proportional to 99,638,325 and 215,652,852

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Solution

The third proportional to 99,638,325 and 215,652,852 is: 466,749,642.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,638,325 : 215,652,852 = 215,652,852 : x
  2. Step 2: Convert to fraction form
    99,638,325/215,652,852 = 215,652,852/x
  3. Step 3: Cross multiply
    99,638,325x = 215,652,852 × 215,652,852
  4. Step 4: Simplify right side
    99,638,325x = 46,506,152,575,733,904
  5. Step 5: Solve for x
    x = 46,506,152,575,733,904/99,638,325
  6. Step 6: Final answer
    x = 466,749,642.53

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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.