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Finding the Third Proportional to 50,482,743.12 and 109,036,746.42

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Solution

The third proportional to 50,482,743.12 and 109,036,746.42 is: 235,506,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,482,743.12 : 109,036,746.42 = 109,036,746.42 : x
  2. Step 2: Convert to fraction form
    50,482,743.12/109,036,746.42 = 109,036,746.42/x
  3. Step 3: Cross multiply
    50,482,743.12x = 109,036,746.42 × 109,036,746.42
  4. Step 4: Simplify right side
    50,482,743.12x = 11,889,012,070,269,362
  5. Step 5: Solve for x
    x = 11,889,012,070,269,362/50,482,743.12
  6. Step 6: Final answer
    x = 235,506,458.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.