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Finding the Third Proportional to 109,870,139,349 and 235,637,391,705

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Solution

The third proportional to 109,870,139,349 and 235,637,391,705 is: 505,369,163,073.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,870,139,349 : 235,637,391,705 = 235,637,391,705 : x
  2. Step 2: Convert to fraction form
    109,870,139,349/235,637,391,705 = 235,637,391,705/x
  3. Step 3: Cross multiply
    109,870,139,349x = 235,637,391,705 × 235,637,391,705
  4. Step 4: Simplify right side
    109,870,139,349x = 55,524,980,369,535,606,456,320
  5. Step 5: Solve for x
    x = 55,524,980,369,535,606,456,320/109,870,139,349
  6. Step 6: Final answer
    x = 505,369,163,073.16

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