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Finding the Third Proportional to 209,506,660 and 493,865,449

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Solution

The third proportional to 209,506,660 and 493,865,449 is: 1,164,178,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,506,660 : 493,865,449 = 493,865,449 : x
  2. Step 2: Convert to fraction form
    209,506,660/493,865,449 = 493,865,449/x
  3. Step 3: Cross multiply
    209,506,660x = 493,865,449 × 493,865,449
  4. Step 4: Simplify right side
    209,506,660x = 243,903,081,715,971,616
  5. Step 5: Solve for x
    x = 243,903,081,715,971,616/209,506,660
  6. Step 6: Final answer
    x = 1,164,178,177.99

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.