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Finding the Third Proportional to 174,621,683 and 291,018,599

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Solution

The third proportional to 174,621,683 and 291,018,599 is: 485,001,767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,621,683 : 291,018,599 = 291,018,599 : x
  2. Step 2: Convert to fraction form
    174,621,683/291,018,599 = 291,018,599/x
  3. Step 3: Cross multiply
    174,621,683x = 291,018,599 × 291,018,599
  4. Step 4: Simplify right side
    174,621,683x = 84,691,824,963,922,800
  5. Step 5: Solve for x
    x = 84,691,824,963,922,800/174,621,683
  6. Step 6: Final answer
    x = 485,001,767.87

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.