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Finding the Third Proportional to 141,441,523 and 212,688,658

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Solution

The third proportional to 141,441,523 and 212,688,658 is: 319,824,506.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,441,523 : 212,688,658 = 212,688,658 : x
  2. Step 2: Convert to fraction form
    141,441,523/212,688,658 = 212,688,658/x
  3. Step 3: Cross multiply
    141,441,523x = 212,688,658 × 212,688,658
  4. Step 4: Simplify right side
    141,441,523x = 45,236,465,241,840,960
  5. Step 5: Solve for x
    x = 45,236,465,241,840,960/141,441,523
  6. Step 6: Final answer
    x = 319,824,506.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.