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Finding the Third Proportional to 255,718,767 and 551,352,534

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Solution

The third proportional to 255,718,767 and 551,352,534 is: 1,188,765,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,718,767 : 551,352,534 = 551,352,534 : x
  2. Step 2: Convert to fraction form
    255,718,767/551,352,534 = 551,352,534/x
  3. Step 3: Cross multiply
    255,718,767x = 551,352,534 × 551,352,534
  4. Step 4: Simplify right side
    255,718,767x = 303,989,616,748,221,184
  5. Step 5: Solve for x
    x = 303,989,616,748,221,184/255,718,767
  6. Step 6: Final answer
    x = 1,188,765,378.13

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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.