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Finding the Third Proportional to 146,271,718.13 and 304,650,302.63

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Solution

The third proportional to 146,271,718.13 and 304,650,302.63 is: 634,516,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,271,718.13 : 304,650,302.63 = 304,650,302.63 : x
  2. Step 2: Convert to fraction form
    146,271,718.13/304,650,302.63 = 304,650,302.63/x
  3. Step 3: Cross multiply
    146,271,718.13x = 304,650,302.63 × 304,650,302.63
  4. Step 4: Simplify right side
    146,271,718.13x = 92,811,806,889,504,080
  5. Step 5: Solve for x
    x = 92,811,806,889,504,080/146,271,718.13
  6. Step 6: Final answer
    x = 634,516,419.71

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.