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Finding the Third Proportional to 168,996,473 and 360,315,315

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Solution

The third proportional to 168,996,473 and 360,315,315 is: 768,223,880.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,996,473 : 360,315,315 = 360,315,315 : x
  2. Step 2: Convert to fraction form
    168,996,473/360,315,315 = 360,315,315/x
  3. Step 3: Cross multiply
    168,996,473x = 360,315,315 × 360,315,315
  4. Step 4: Simplify right side
    168,996,473x = 129,827,126,223,549,232
  5. Step 5: Solve for x
    x = 129,827,126,223,549,232/168,996,473
  6. Step 6: Final answer
    x = 768,223,880.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.