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Finding the Third Proportional to 199,126,524 and 311,681,036.25

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Solution

The third proportional to 199,126,524 and 311,681,036.25 is: 487,855,994.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,126,524 : 311,681,036.25 = 311,681,036.25 : x
  2. Step 2: Convert to fraction form
    199,126,524/311,681,036.25 = 311,681,036.25/x
  3. Step 3: Cross multiply
    199,126,524x = 311,681,036.25 × 311,681,036.25
  4. Step 4: Simplify right side
    199,126,524x = 97,145,068,357,873,808
  5. Step 5: Solve for x
    x = 97,145,068,357,873,808/199,126,524
  6. Step 6: Final answer
    x = 487,855,994.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.