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Finding the Third Proportional to 23,010,259.50 and 49,211,898.75

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Solution

The third proportional to 23,010,259.50 and 49,211,898.75 is: 105,249,181.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,010,259.50 : 49,211,898.75 = 49,211,898.75 : x
  2. Step 2: Convert to fraction form
    23,010,259.50/49,211,898.75 = 49,211,898.75/x
  3. Step 3: Cross multiply
    23,010,259.50x = 49,211,898.75 × 49,211,898.75
  4. Step 4: Simplify right side
    23,010,259.50x = 2,421,810,978,580,251.50
  5. Step 5: Solve for x
    x = 2,421,810,978,580,251.50/23,010,259.50
  6. Step 6: Final answer
    x = 105,249,181.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.