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Finding the Third Proportional to 152,090,432 and 328,423,168

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Solution

The third proportional to 152,090,432 and 328,423,168 is: 709,195,022.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,090,432 : 328,423,168 = 328,423,168 : x
  2. Step 2: Convert to fraction form
    152,090,432/328,423,168 = 328,423,168/x
  3. Step 3: Cross multiply
    152,090,432x = 328,423,168 × 328,423,168
  4. Step 4: Simplify right side
    152,090,432x = 107,861,777,279,156,224
  5. Step 5: Solve for x
    x = 107,861,777,279,156,224/152,090,432
  6. Step 6: Final answer
    x = 709,195,022.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.