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Finding the Third Proportional to 120,386,315 and 183,396,113

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Solution

The third proportional to 120,386,315 and 183,396,113 is: 279,385,030.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,386,315 : 183,396,113 = 183,396,113 : x
  2. Step 2: Convert to fraction form
    120,386,315/183,396,113 = 183,396,113/x
  3. Step 3: Cross multiply
    120,386,315x = 183,396,113 × 183,396,113
  4. Step 4: Simplify right side
    120,386,315x = 33,634,134,263,508,768
  5. Step 5: Solve for x
    x = 33,634,134,263,508,768/120,386,315
  6. Step 6: Final answer
    x = 279,385,030.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.