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Finding the Third Proportional to 191,928,158 and 414,438,748

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Solution

The third proportional to 191,928,158 and 414,438,748 is: 894,915,460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,928,158 : 414,438,748 = 414,438,748 : x
  2. Step 2: Convert to fraction form
    191,928,158/414,438,748 = 414,438,748/x
  3. Step 3: Cross multiply
    191,928,158x = 414,438,748 × 414,438,748
  4. Step 4: Simplify right side
    191,928,158x = 171,759,475,843,807,488
  5. Step 5: Solve for x
    x = 171,759,475,843,807,488/191,928,158
  6. Step 6: Final answer
    x = 894,915,460.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.