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Finding the Third Proportional to 319,702,164 and 699,193,992

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Solution

The third proportional to 319,702,164 and 699,193,992 is: 1,529,148,981.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,702,164 : 699,193,992 = 699,193,992 : x
  2. Step 2: Convert to fraction form
    319,702,164/699,193,992 = 699,193,992/x
  3. Step 3: Cross multiply
    319,702,164x = 699,193,992 × 699,193,992
  4. Step 4: Simplify right side
    319,702,164x = 488,872,238,448,896,064
  5. Step 5: Solve for x
    x = 488,872,238,448,896,064/319,702,164
  6. Step 6: Final answer
    x = 1,529,148,981.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.