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Finding the Third Proportional to 141,315,464 and 213,316,716

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Solution

The third proportional to 141,315,464 and 213,316,716 is: 322,003,127.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,315,464 : 213,316,716 = 213,316,716 : x
  2. Step 2: Convert to fraction form
    141,315,464/213,316,716 = 213,316,716/x
  3. Step 3: Cross multiply
    141,315,464x = 213,316,716 × 213,316,716
  4. Step 4: Simplify right side
    141,315,464x = 45,504,021,325,024,656
  5. Step 5: Solve for x
    x = 45,504,021,325,024,656/141,315,464
  6. Step 6: Final answer
    x = 322,003,127.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.