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Finding the Third Proportional to 121,956,202,946 and 264,173,053,828

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Solution

The third proportional to 121,956,202,946 and 264,173,053,828 is: 572,233,315,592.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,956,202,946 : 264,173,053,828 = 264,173,053,828 : x
  2. Step 2: Convert to fraction form
    121,956,202,946/264,173,053,828 = 264,173,053,828/x
  3. Step 3: Cross multiply
    121,956,202,946x = 264,173,053,828 × 264,173,053,828
  4. Step 4: Simplify right side
    121,956,202,946x = 69,787,402,368,811,387,584,512
  5. Step 5: Solve for x
    x = 69,787,402,368,811,387,584,512/121,956,202,946
  6. Step 6: Final answer
    x = 572,233,315,592.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.