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Finding the Third Proportional to 78,226,330.29 and 162,890,357.06

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Solution

The third proportional to 78,226,330.29 and 162,890,357.06 is: 339,185,902.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,226,330.29 : 162,890,357.06 = 162,890,357.06 : x
  2. Step 2: Convert to fraction form
    78,226,330.29/162,890,357.06 = 162,890,357.06/x
  3. Step 3: Cross multiply
    78,226,330.29x = 162,890,357.06 × 162,890,357.06
  4. Step 4: Simplify right side
    78,226,330.29x = 26,533,268,423,948,744
  5. Step 5: Solve for x
    x = 26,533,268,423,948,744/78,226,330.29
  6. Step 6: Final answer
    x = 339,185,902.32

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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.