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Finding the Third Proportional to 121,085,949 and 258,316,332

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Solution

The third proportional to 121,085,949 and 258,316,332 is: 551,074,075.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,085,949 : 258,316,332 = 258,316,332 : x
  2. Step 2: Convert to fraction form
    121,085,949/258,316,332 = 258,316,332/x
  3. Step 3: Cross multiply
    121,085,949x = 258,316,332 × 258,316,332
  4. Step 4: Simplify right side
    121,085,949x = 66,727,327,377,934,224
  5. Step 5: Solve for x
    x = 66,727,327,377,934,224/121,085,949
  6. Step 6: Final answer
    x = 551,074,075.31

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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.