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Finding the Third Proportional to 141,984,373.50 and 212,194,006.59

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Solution

The third proportional to 141,984,373.50 and 212,194,006.59 is: 317,121,492.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,984,373.50 : 212,194,006.59 = 212,194,006.59 : x
  2. Step 2: Convert to fraction form
    141,984,373.50/212,194,006.59 = 212,194,006.59/x
  3. Step 3: Cross multiply
    141,984,373.50x = 212,194,006.59 × 212,194,006.59
  4. Step 4: Simplify right side
    141,984,373.50x = 45,026,296,434,312,672
  5. Step 5: Solve for x
    x = 45,026,296,434,312,672/141,984,373.50
  6. Step 6: Final answer
    x = 317,121,492.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.