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Finding the Third Proportional to 59,538,113 and 128,199,023

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Solution

The third proportional to 59,538,113 and 128,199,023 is: 276,041,491.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,538,113 : 128,199,023 = 128,199,023 : x
  2. Step 2: Convert to fraction form
    59,538,113/128,199,023 = 128,199,023/x
  3. Step 3: Cross multiply
    59,538,113x = 128,199,023 × 128,199,023
  4. Step 4: Simplify right side
    59,538,113x = 16,434,989,498,154,528
  5. Step 5: Solve for x
    x = 16,434,989,498,154,528/59,538,113
  6. Step 6: Final answer
    x = 276,041,491.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.