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Finding the Third Proportional to 141,707,020,951 and 312,298,445,557.50

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Solution

The third proportional to 141,707,020,951 and 312,298,445,557.50 is: 688,253,259,740.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,707,020,951 : 312,298,445,557.50 = 312,298,445,557.50 : x
  2. Step 2: Convert to fraction form
    141,707,020,951/312,298,445,557.50 = 312,298,445,557.50/x
  3. Step 3: Cross multiply
    141,707,020,951x = 312,298,445,557.50 × 312,298,445,557.50
  4. Step 4: Simplify right side
    141,707,020,951x = 97,530,319,097,630,797,332,480
  5. Step 5: Solve for x
    x = 97,530,319,097,630,797,332,480/141,707,020,951
  6. Step 6: Final answer
    x = 688,253,259,740.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.