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Finding the Third Proportional to 228,502,020 and 348,107,022

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Solution

The third proportional to 228,502,020 and 348,107,022 is: 530,316,969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,502,020 : 348,107,022 = 348,107,022 : x
  2. Step 2: Convert to fraction form
    228,502,020/348,107,022 = 348,107,022/x
  3. Step 3: Cross multiply
    228,502,020x = 348,107,022 × 348,107,022
  4. Step 4: Simplify right side
    228,502,020x = 121,178,498,765,708,480
  5. Step 5: Solve for x
    x = 121,178,498,765,708,480/228,502,020
  6. Step 6: Final answer
    x = 530,316,969.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.