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Finding the Third Proportional to 72,896,402.25 and 148,725,569.81

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Solution

The third proportional to 72,896,402.25 and 148,725,569.81 is: 303,434,661.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,896,402.25 : 148,725,569.81 = 148,725,569.81 : x
  2. Step 2: Convert to fraction form
    72,896,402.25/148,725,569.81 = 148,725,569.81/x
  3. Step 3: Cross multiply
    72,896,402.25x = 148,725,569.81 × 148,725,569.81
  4. Step 4: Simplify right side
    72,896,402.25x = 22,119,295,116,052,812
  5. Step 5: Solve for x
    x = 22,119,295,116,052,812/72,896,402.25
  6. Step 6: Final answer
    x = 303,434,661.15

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.