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Finding the Third Proportional to 180,166,281.64 and 288,383,313.13

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Solution

The third proportional to 180,166,281.64 and 288,383,313.13 is: 461,600,997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,166,281.64 : 288,383,313.13 = 288,383,313.13 : x
  2. Step 2: Convert to fraction form
    180,166,281.64/288,383,313.13 = 288,383,313.13/x
  3. Step 3: Cross multiply
    180,166,281.64x = 288,383,313.13 × 288,383,313.13
  4. Step 4: Simplify right side
    180,166,281.64x = 83,164,935,291,206,960
  5. Step 5: Solve for x
    x = 83,164,935,291,206,960/180,166,281.64
  6. Step 6: Final answer
    x = 461,600,997.32

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.