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Finding the Third Proportional to 130,028,719.50 and 196,145,327.25

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Solution

The third proportional to 130,028,719.50 and 196,145,327.25 is: 295,880,706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,028,719.50 : 196,145,327.25 = 196,145,327.25 : x
  2. Step 2: Convert to fraction form
    130,028,719.50/196,145,327.25 = 196,145,327.25/x
  3. Step 3: Cross multiply
    130,028,719.50x = 196,145,327.25 × 196,145,327.25
  4. Step 4: Simplify right side
    130,028,719.50x = 38,472,989,402,009,592
  5. Step 5: Solve for x
    x = 38,472,989,402,009,592/130,028,719.50
  6. Step 6: Final answer
    x = 295,880,706.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.