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Finding the Third Proportional to 319,993,369,141.50 and 462,335,159,358

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Solution

The third proportional to 319,993,369,141.50 and 462,335,159,358 is: 667,994,465,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,993,369,141.50 : 462,335,159,358 = 462,335,159,358 : x
  2. Step 2: Convert to fraction form
    319,993,369,141.50/462,335,159,358 = 462,335,159,358/x
  3. Step 3: Cross multiply
    319,993,369,141.50x = 462,335,159,358 × 462,335,159,358
  4. Step 4: Simplify right side
    319,993,369,141.50x = 213,753,799,578,587,261,566,976
  5. Step 5: Solve for x
    x = 213,753,799,578,587,261,566,976/319,993,369,141.50
  6. Step 6: Final answer
    x = 667,994,465,485.52

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.