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Finding the Third Proportional to 164,565,696 and 353,897,952

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Solution

The third proportional to 164,565,696 and 353,897,952 is: 761,056,304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,565,696 : 353,897,952 = 353,897,952 : x
  2. Step 2: Convert to fraction form
    164,565,696/353,897,952 = 353,897,952/x
  3. Step 3: Cross multiply
    164,565,696x = 353,897,952 × 353,897,952
  4. Step 4: Simplify right side
    164,565,696x = 125,243,760,429,794,304
  5. Step 5: Solve for x
    x = 125,243,760,429,794,304/164,565,696
  6. Step 6: Final answer
    x = 761,056,304.41

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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.