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Finding the Third Proportional to 190,996,856 and 409,221,776

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Solution

The third proportional to 190,996,856 and 409,221,776 is: 876,781,248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,996,856 : 409,221,776 = 409,221,776 : x
  2. Step 2: Convert to fraction form
    190,996,856/409,221,776 = 409,221,776/x
  3. Step 3: Cross multiply
    190,996,856x = 409,221,776 × 409,221,776
  4. Step 4: Simplify right side
    190,996,856x = 167,462,461,952,594,176
  5. Step 5: Solve for x
    x = 167,462,461,952,594,176/190,996,856
  6. Step 6: Final answer
    x = 876,781,248.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.