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Finding the Third Proportional to 77,588,928 and 121,713,840

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Solution

The third proportional to 77,588,928 and 121,713,840 is: 190,932,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,588,928 : 121,713,840 = 121,713,840 : x
  2. Step 2: Convert to fraction form
    77,588,928/121,713,840 = 121,713,840/x
  3. Step 3: Cross multiply
    77,588,928x = 121,713,840 × 121,713,840
  4. Step 4: Simplify right side
    77,588,928x = 14,814,258,847,545,600
  5. Step 5: Solve for x
    x = 14,814,258,847,545,600/77,588,928
  6. Step 6: Final answer
    x = 190,932,639.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.