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Finding the Third Proportional to 92,708,972 and 201,543,840

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Solution

The third proportional to 92,708,972 and 201,543,840 is: 438,144,427.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,708,972 : 201,543,840 = 201,543,840 : x
  2. Step 2: Convert to fraction form
    92,708,972/201,543,840 = 201,543,840/x
  3. Step 3: Cross multiply
    92,708,972x = 201,543,840 × 201,543,840
  4. Step 4: Simplify right side
    92,708,972x = 40,619,919,441,945,600
  5. Step 5: Solve for x
    x = 40,619,919,441,945,600/92,708,972
  6. Step 6: Final answer
    x = 438,144,427.29

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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.