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Finding the Third Proportional to 47,275,095.75 and 103,518,259.50

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Solution

The third proportional to 47,275,095.75 and 103,518,259.50 is: 226,673,894.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,275,095.75 : 103,518,259.50 = 103,518,259.50 : x
  2. Step 2: Convert to fraction form
    47,275,095.75/103,518,259.50 = 103,518,259.50/x
  3. Step 3: Cross multiply
    47,275,095.75x = 103,518,259.50 × 103,518,259.50
  4. Step 4: Simplify right side
    47,275,095.75x = 10,716,030,049,909,340
  5. Step 5: Solve for x
    x = 10,716,030,049,909,340/47,275,095.75
  6. Step 6: Final answer
    x = 226,673,894.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.