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Finding the Third Proportional to 120,459,896 and 162,528,681

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Solution

The third proportional to 120,459,896 and 162,528,681 is: 219,289,348.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,459,896 : 162,528,681 = 162,528,681 : x
  2. Step 2: Convert to fraction form
    120,459,896/162,528,681 = 162,528,681/x
  3. Step 3: Cross multiply
    120,459,896x = 162,528,681 × 162,528,681
  4. Step 4: Simplify right side
    120,459,896x = 26,415,572,147,599,760
  5. Step 5: Solve for x
    x = 26,415,572,147,599,760/120,459,896
  6. Step 6: Final answer
    x = 219,289,348.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.