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Finding the Third Proportional to 78,763,919,096 and 169,473,840,988

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Solution

The third proportional to 78,763,919,096 and 169,473,840,988 is: 364,651,519,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,763,919,096 : 169,473,840,988 = 169,473,840,988 : x
  2. Step 2: Convert to fraction form
    78,763,919,096/169,473,840,988 = 169,473,840,988/x
  3. Step 3: Cross multiply
    78,763,919,096x = 169,473,840,988 × 169,473,840,988
  4. Step 4: Simplify right side
    78,763,919,096x = 28,721,382,779,225,907,396,608
  5. Step 5: Solve for x
    x = 28,721,382,779,225,907,396,608/78,763,919,096
  6. Step 6: Final answer
    x = 364,651,519,488.50

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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.