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Finding the Third Proportional to 57,559,906.13 and 88,563,019.36

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Solution

The third proportional to 57,559,906.13 and 88,563,019.36 is: 136,265,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,559,906.13 : 88,563,019.36 = 88,563,019.36 : x
  2. Step 2: Convert to fraction form
    57,559,906.13/88,563,019.36 = 88,563,019.36/x
  3. Step 3: Cross multiply
    57,559,906.13x = 88,563,019.36 × 88,563,019.36
  4. Step 4: Simplify right side
    57,559,906.13x = 7,843,408,398,049,031
  5. Step 5: Solve for x
    x = 7,843,408,398,049,031/57,559,906.13
  6. Step 6: Final answer
    x = 136,265,135.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.