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Finding the Third Proportional to 176,940,667.69 and 265,411,024.31

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Solution

The third proportional to 176,940,667.69 and 265,411,024.31 is: 398,116,570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,940,667.69 : 265,411,024.31 = 265,411,024.31 : x
  2. Step 2: Convert to fraction form
    176,940,667.69/265,411,024.31 = 265,411,024.31/x
  3. Step 3: Cross multiply
    176,940,667.69x = 265,411,024.31 × 265,411,024.31
  4. Step 4: Simplify right side
    176,940,667.69x = 70,443,011,826,610,464
  5. Step 5: Solve for x
    x = 70,443,011,826,610,464/176,940,667.69
  6. Step 6: Final answer
    x = 398,116,570.64

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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.