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Finding the Third Proportional to 77,525,641.69 and 120,099,894.75

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Solution

The third proportional to 77,525,641.69 and 120,099,894.75 is: 186,054,373.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,525,641.69 : 120,099,894.75 = 120,099,894.75 : x
  2. Step 2: Convert to fraction form
    77,525,641.69/120,099,894.75 = 120,099,894.75/x
  3. Step 3: Cross multiply
    77,525,641.69x = 120,099,894.75 × 120,099,894.75
  4. Step 4: Simplify right side
    77,525,641.69x = 14,423,984,718,961,078
  5. Step 5: Solve for x
    x = 14,423,984,718,961,078/77,525,641.69
  6. Step 6: Final answer
    x = 186,054,373.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.