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Finding the Third Proportional to 86,078,525.50 and 184,437,282.88

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Solution

The third proportional to 86,078,525.50 and 184,437,282.88 is: 395,186,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,078,525.50 : 184,437,282.88 = 184,437,282.88 : x
  2. Step 2: Convert to fraction form
    86,078,525.50/184,437,282.88 = 184,437,282.88/x
  3. Step 3: Cross multiply
    86,078,525.50x = 184,437,282.88 × 184,437,282.88
  4. Step 4: Simplify right side
    86,078,525.50x = 34,017,111,314,312,768
  5. Step 5: Solve for x
    x = 34,017,111,314,312,768/86,078,525.50
  6. Step 6: Final answer
    x = 395,186,965.82

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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.