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Finding the Third Proportional to 157,129,916 and 370,398,900

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Solution

The third proportional to 157,129,916 and 370,398,900 is: 873,133,192.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,129,916 : 370,398,900 = 370,398,900 : x
  2. Step 2: Convert to fraction form
    157,129,916/370,398,900 = 370,398,900/x
  3. Step 3: Cross multiply
    157,129,916x = 370,398,900 × 370,398,900
  4. Step 4: Simplify right side
    157,129,916x = 137,195,345,121,210,000
  5. Step 5: Solve for x
    x = 137,195,345,121,210,000/157,129,916
  6. Step 6: Final answer
    x = 873,133,192.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.