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Finding the Third Proportional to 157,920,367 and 245,492,432

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Solution

The third proportional to 157,920,367 and 245,492,432 is: 381,626,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,920,367 : 245,492,432 = 245,492,432 : x
  2. Step 2: Convert to fraction form
    157,920,367/245,492,432 = 245,492,432/x
  3. Step 3: Cross multiply
    157,920,367x = 245,492,432 × 245,492,432
  4. Step 4: Simplify right side
    157,920,367x = 60,266,534,169,274,624
  5. Step 5: Solve for x
    x = 60,266,534,169,274,624/157,920,367
  6. Step 6: Final answer
    x = 381,626,102.54

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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.