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Finding the Third Proportional to 77,767,848 and 170,182,224

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Solution

The third proportional to 77,767,848 and 170,182,224 is: 372,415,980.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,767,848 : 170,182,224 = 170,182,224 : x
  2. Step 2: Convert to fraction form
    77,767,848/170,182,224 = 170,182,224/x
  3. Step 3: Cross multiply
    77,767,848x = 170,182,224 × 170,182,224
  4. Step 4: Simplify right side
    77,767,848x = 28,961,989,365,586,176
  5. Step 5: Solve for x
    x = 28,961,989,365,586,176/77,767,848
  6. Step 6: Final answer
    x = 372,415,980.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.