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Finding the Third Proportional to 77,881,596.75 and 166,187,407.50

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Solution

The third proportional to 77,881,596.75 and 166,187,407.50 is: 354,618,492.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,881,596.75 : 166,187,407.50 = 166,187,407.50 : x
  2. Step 2: Convert to fraction form
    77,881,596.75/166,187,407.50 = 166,187,407.50/x
  3. Step 3: Cross multiply
    77,881,596.75x = 166,187,407.50 × 166,187,407.50
  4. Step 4: Simplify right side
    77,881,596.75x = 27,618,254,411,571,056
  5. Step 5: Solve for x
    x = 27,618,254,411,571,056/77,881,596.75
  6. Step 6: Final answer
    x = 354,618,492.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.