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Finding the Third Proportional to 120,459,878.50 and 162,528,659

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Solution

The third proportional to 120,459,878.50 and 162,528,659 is: 219,289,321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,459,878.50 : 162,528,659 = 162,528,659 : x
  2. Step 2: Convert to fraction form
    120,459,878.50/162,528,659 = 162,528,659/x
  3. Step 3: Cross multiply
    120,459,878.50x = 162,528,659 × 162,528,659
  4. Step 4: Simplify right side
    120,459,878.50x = 26,415,564,996,338,280
  5. Step 5: Solve for x
    x = 26,415,564,996,338,280/120,459,878.50
  6. Step 6: Final answer
    x = 219,289,321.27

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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.