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Finding the Third Proportional to 77,611,904.50 and 119,295,058.25

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Solution

The third proportional to 77,611,904.50 and 119,295,058.25 is: 183,365,052.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,611,904.50 : 119,295,058.25 = 119,295,058.25 : x
  2. Step 2: Convert to fraction form
    77,611,904.50/119,295,058.25 = 119,295,058.25/x
  3. Step 3: Cross multiply
    77,611,904.50x = 119,295,058.25 × 119,295,058.25
  4. Step 4: Simplify right side
    77,611,904.50x = 14,231,310,922,870,894
  5. Step 5: Solve for x
    x = 14,231,310,922,870,894/77,611,904.50
  6. Step 6: Final answer
    x = 183,365,052.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.