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Finding the Third Proportional to 164,565,752 and 353,898,016

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Solution

The third proportional to 164,565,752 and 353,898,016 is: 761,056,320.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,565,752 : 353,898,016 = 353,898,016 : x
  2. Step 2: Convert to fraction form
    164,565,752/353,898,016 = 353,898,016/x
  3. Step 3: Cross multiply
    164,565,752x = 353,898,016 × 353,898,016
  4. Step 4: Simplify right side
    164,565,752x = 125,243,805,728,736,256
  5. Step 5: Solve for x
    x = 125,243,805,728,736,256/164,565,752
  6. Step 6: Final answer
    x = 761,056,320.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.