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Finding the Third Proportional to 201,371,166 and 310,679,061

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Solution

The third proportional to 201,371,166 and 310,679,061 is: 479,321,249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,371,166 : 310,679,061 = 310,679,061 : x
  2. Step 2: Convert to fraction form
    201,371,166/310,679,061 = 310,679,061/x
  3. Step 3: Cross multiply
    201,371,166x = 310,679,061 × 310,679,061
  4. Step 4: Simplify right side
    201,371,166x = 96,521,478,943,841,728
  5. Step 5: Solve for x
    x = 96,521,478,943,841,728/201,371,166
  6. Step 6: Final answer
    x = 479,321,249.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.