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Finding the Third Proportional to 134,210,786 and 293,541,796

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Solution

The third proportional to 134,210,786 and 293,541,796 is: 642,025,790.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,210,786 : 293,541,796 = 293,541,796 : x
  2. Step 2: Convert to fraction form
    134,210,786/293,541,796 = 293,541,796/x
  3. Step 3: Cross multiply
    134,210,786x = 293,541,796 × 293,541,796
  4. Step 4: Simplify right side
    134,210,786x = 86,166,785,998,905,616
  5. Step 5: Solve for x
    x = 86,166,785,998,905,616/134,210,786
  6. Step 6: Final answer
    x = 642,025,790.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.