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Finding the Third Proportional to 86,078,528 and 184,437,287

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Solution

The third proportional to 86,078,528 and 184,437,287 is: 395,186,972.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,078,528 : 184,437,287 = 184,437,287 : x
  2. Step 2: Convert to fraction form
    86,078,528/184,437,287 = 184,437,287/x
  3. Step 3: Cross multiply
    86,078,528x = 184,437,287 × 184,437,287
  4. Step 4: Simplify right side
    86,078,528x = 34,017,112,835,920,368
  5. Step 5: Solve for x
    x = 34,017,112,835,920,368/86,078,528
  6. Step 6: Final answer
    x = 395,186,972.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.