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Finding the Third Proportional to 193,727,970 and 298,174,506

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Solution

The third proportional to 193,727,970 and 298,174,506 is: 458,932,368.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,727,970 : 298,174,506 = 298,174,506 : x
  2. Step 2: Convert to fraction form
    193,727,970/298,174,506 = 298,174,506/x
  3. Step 3: Cross multiply
    193,727,970x = 298,174,506 × 298,174,506
  4. Step 4: Simplify right side
    193,727,970x = 88,908,036,028,344,032
  5. Step 5: Solve for x
    x = 88,908,036,028,344,032/193,727,970
  6. Step 6: Final answer
    x = 458,932,368.04

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