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Finding the Third Proportional to 61,771,284 and 134,299,368

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Solution

The third proportional to 61,771,284 and 134,299,368 is: 291,985,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,771,284 : 134,299,368 = 134,299,368 : x
  2. Step 2: Convert to fraction form
    61,771,284/134,299,368 = 134,299,368/x
  3. Step 3: Cross multiply
    61,771,284x = 134,299,368 × 134,299,368
  4. Step 4: Simplify right side
    61,771,284x = 18,036,320,245,199,424
  5. Step 5: Solve for x
    x = 18,036,320,245,199,424/61,771,284
  6. Step 6: Final answer
    x = 291,985,516.20

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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.