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Finding the Third Proportional to 342,675,088.31 and 529,731,998.44

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Solution

The third proportional to 342,675,088.31 and 529,731,998.44 is: 818,898,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,675,088.31 : 529,731,998.44 = 529,731,998.44 : x
  2. Step 2: Convert to fraction form
    342,675,088.31/529,731,998.44 = 529,731,998.44/x
  3. Step 3: Cross multiply
    342,675,088.31x = 529,731,998.44 × 529,731,998.44
  4. Step 4: Simplify right side
    342,675,088.31x = 280,615,990,168,587,488
  5. Step 5: Solve for x
    x = 280,615,990,168,587,488/342,675,088.31
  6. Step 6: Final answer
    x = 818,898,133.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.