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Finding the Third Proportional to 68,569,368 and 146,438,136

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Solution

The third proportional to 68,569,368 and 146,438,136 is: 312,736,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,569,368 : 146,438,136 = 146,438,136 : x
  2. Step 2: Convert to fraction form
    68,569,368/146,438,136 = 146,438,136/x
  3. Step 3: Cross multiply
    68,569,368x = 146,438,136 × 146,438,136
  4. Step 4: Simplify right side
    68,569,368x = 21,444,127,675,154,496
  5. Step 5: Solve for x
    x = 21,444,127,675,154,496/68,569,368
  6. Step 6: Final answer
    x = 312,736,259.65

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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.