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Finding the Third Proportional to 170,086,298,416 and 364,433,084,663

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Solution

The third proportional to 170,086,298,416 and 364,433,084,663 is: 780,847,572,284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,086,298,416 : 364,433,084,663 = 364,433,084,663 : x
  2. Step 2: Convert to fraction form
    170,086,298,416/364,433,084,663 = 364,433,084,663/x
  3. Step 3: Cross multiply
    170,086,298,416x = 364,433,084,663 × 364,433,084,663
  4. Step 4: Simplify right side
    170,086,298,416x = 132,811,473,196,989,328,392,192
  5. Step 5: Solve for x
    x = 132,811,473,196,989,328,392,192/170,086,298,416
  6. Step 6: Final answer
    x = 780,847,572,284.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.