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Finding the Third Proportional to 117,960,475 and 176,940,729

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Solution

The third proportional to 117,960,475 and 176,940,729 is: 265,411,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,960,475 : 176,940,729 = 176,940,729 : x
  2. Step 2: Convert to fraction form
    117,960,475/176,940,729 = 176,940,729/x
  3. Step 3: Cross multiply
    117,960,475x = 176,940,729 × 176,940,729
  4. Step 4: Simplify right side
    117,960,475x = 31,308,021,579,051,440
  5. Step 5: Solve for x
    x = 31,308,021,579,051,440/117,960,475
  6. Step 6: Final answer
    x = 265,411,118.25

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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.