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Finding the Third Proportional to 169,210,209,510 and 255,991,583,601

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Solution

The third proportional to 169,210,209,510 and 255,991,583,601 is: 387,279,769,136.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,210,209,510 : 255,991,583,601 = 255,991,583,601 : x
  2. Step 2: Convert to fraction form
    169,210,209,510/255,991,583,601 = 255,991,583,601/x
  3. Step 3: Cross multiply
    169,210,209,510x = 255,991,583,601 × 255,991,583,601
  4. Step 4: Simplify right side
    169,210,209,510x = 65,531,690,874,547,774,423,040
  5. Step 5: Solve for x
    x = 65,531,690,874,547,774,423,040/169,210,209,510
  6. Step 6: Final answer
    x = 387,279,769,136.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.