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Finding the Third Proportional to 156,095,133 and 347,090,673

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Solution

The third proportional to 156,095,133 and 347,090,673 is: 771,785,339.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,095,133 : 347,090,673 = 347,090,673 : x
  2. Step 2: Convert to fraction form
    156,095,133/347,090,673 = 347,090,673/x
  3. Step 3: Cross multiply
    156,095,133x = 347,090,673 × 347,090,673
  4. Step 4: Simplify right side
    156,095,133x = 120,471,935,283,592,928
  5. Step 5: Solve for x
    x = 120,471,935,283,592,928/156,095,133
  6. Step 6: Final answer
    x = 771,785,339.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.