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Finding the Third Proportional to 286,157,196 and 619,853,515.88

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Solution

The third proportional to 286,157,196 and 619,853,515.88 is: 1,342,682,925.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,157,196 : 619,853,515.88 = 619,853,515.88 : x
  2. Step 2: Convert to fraction form
    286,157,196/619,853,515.88 = 619,853,515.88/x
  3. Step 3: Cross multiply
    286,157,196x = 619,853,515.88 × 619,853,515.88
  4. Step 4: Simplify right side
    286,157,196x = 384,218,381,142,598,848
  5. Step 5: Solve for x
    x = 384,218,381,142,598,848/286,157,196
  6. Step 6: Final answer
    x = 1,342,682,925.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.