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Finding the Third Proportional to 157,920,352.50 and 245,492,410.50

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Solution

The third proportional to 157,920,352.50 and 245,492,410.50 is: 381,626,070.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,920,352.50 : 245,492,410.50 = 245,492,410.50 : x
  2. Step 2: Convert to fraction form
    157,920,352.50/245,492,410.50 = 245,492,410.50/x
  3. Step 3: Cross multiply
    157,920,352.50x = 245,492,410.50 × 245,492,410.50
  4. Step 4: Simplify right side
    157,920,352.50x = 60,266,523,613,100,512
  5. Step 5: Solve for x
    x = 60,266,523,613,100,512/157,920,352.50
  6. Step 6: Final answer
    x = 381,626,070.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.