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Finding the Third Proportional to 200,362,744.13 and 306,502,658.44

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Solution

The third proportional to 200,362,744.13 and 306,502,658.44 is: 468,869,000.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,362,744.13 : 306,502,658.44 = 306,502,658.44 : x
  2. Step 2: Convert to fraction form
    200,362,744.13/306,502,658.44 = 306,502,658.44/x
  3. Step 3: Cross multiply
    200,362,744.13x = 306,502,658.44 × 306,502,658.44
  4. Step 4: Simplify right side
    200,362,744.13x = 93,943,879,629,254,784
  5. Step 5: Solve for x
    x = 93,943,879,629,254,784/200,362,744.13
  6. Step 6: Final answer
    x = 468,869,000.77

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.