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Finding the Third Proportional to 103,076,822 and 220,908,784

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Solution

The third proportional to 103,076,822 and 220,908,784 is: 473,440,002.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,076,822 : 220,908,784 = 220,908,784 : x
  2. Step 2: Convert to fraction form
    103,076,822/220,908,784 = 220,908,784/x
  3. Step 3: Cross multiply
    103,076,822x = 220,908,784 × 220,908,784
  4. Step 4: Simplify right side
    103,076,822x = 48,800,690,848,358,656
  5. Step 5: Solve for x
    x = 48,800,690,848,358,656/103,076,822
  6. Step 6: Final answer
    x = 473,440,002.33

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Why These Related Problems?

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