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Finding the Third Proportional to 187,503,024 and 411,311,706

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Solution

The third proportional to 187,503,024 and 411,311,706 is: 902,264,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,503,024 : 411,311,706 = 411,311,706 : x
  2. Step 2: Convert to fraction form
    187,503,024/411,311,706 = 411,311,706/x
  3. Step 3: Cross multiply
    187,503,024x = 411,311,706 × 411,311,706
  4. Step 4: Simplify right side
    187,503,024x = 169,177,319,492,630,432
  5. Step 5: Solve for x
    x = 169,177,319,492,630,432/187,503,024
  6. Step 6: Final answer
    x = 902,264,485.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.