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Finding the Third Proportional to 158,707,854,514 and 342,662,679,788

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Solution

The third proportional to 158,707,854,514 and 342,662,679,788 is: 739,835,545,499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,707,854,514 : 342,662,679,788 = 342,662,679,788 : x
  2. Step 2: Convert to fraction form
    158,707,854,514/342,662,679,788 = 342,662,679,788/x
  3. Step 3: Cross multiply
    158,707,854,514x = 342,662,679,788 × 342,662,679,788
  4. Step 4: Simplify right side
    158,707,854,514x = 117,417,712,119,493,420,908,544
  5. Step 5: Solve for x
    x = 117,417,712,119,493,420,908,544/158,707,854,514
  6. Step 6: Final answer
    x = 739,835,545,499.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.