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Finding the Third Proportional to 147,303,339.75 and 221,570,001

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Solution

The third proportional to 147,303,339.75 and 221,570,001 is: 333,280,056.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,303,339.75 : 221,570,001 = 221,570,001 : x
  2. Step 2: Convert to fraction form
    147,303,339.75/221,570,001 = 221,570,001/x
  3. Step 3: Cross multiply
    147,303,339.75x = 221,570,001 × 221,570,001
  4. Step 4: Simplify right side
    147,303,339.75x = 49,093,265,343,140,000
  5. Step 5: Solve for x
    x = 49,093,265,343,140,000/147,303,339.75
  6. Step 6: Final answer
    x = 333,280,056.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.