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Finding the Third Proportional to 229,565,615.06 and 468,766,828.13

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Solution

The third proportional to 229,565,615.06 and 468,766,828.13 is: 957,209,288.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,565,615.06 : 468,766,828.13 = 468,766,828.13 : x
  2. Step 2: Convert to fraction form
    229,565,615.06/468,766,828.13 = 468,766,828.13/x
  3. Step 3: Cross multiply
    229,565,615.06x = 468,766,828.13 × 468,766,828.13
  4. Step 4: Simplify right side
    229,565,615.06x = 219,742,339,150,373,280
  5. Step 5: Solve for x
    x = 219,742,339,150,373,280/229,565,615.06
  6. Step 6: Final answer
    x = 957,209,288.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.