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Finding the Third Proportional to 67,298,428.13 and 146,406,656.25

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Solution

The third proportional to 67,298,428.13 and 146,406,656.25 is: 318,505,343.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,298,428.13 : 146,406,656.25 = 146,406,656.25 : x
  2. Step 2: Convert to fraction form
    67,298,428.13/146,406,656.25 = 146,406,656.25/x
  3. Step 3: Cross multiply
    67,298,428.13x = 146,406,656.25 × 146,406,656.25
  4. Step 4: Simplify right side
    67,298,428.13x = 21,434,908,994,305,664
  5. Step 5: Solve for x
    x = 21,434,908,994,305,664/67,298,428.13
  6. Step 6: Final answer
    x = 318,505,343.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.