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Finding the Third Proportional to 157,875,454,970 and 340,913,519,428

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Solution

The third proportional to 157,875,454,970 and 340,913,519,428 is: 736,162,741,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,875,454,970 : 340,913,519,428 = 340,913,519,428 : x
  2. Step 2: Convert to fraction form
    157,875,454,970/340,913,519,428 = 340,913,519,428/x
  3. Step 3: Cross multiply
    157,875,454,970x = 340,913,519,428 × 340,913,519,428
  4. Step 4: Simplify right side
    157,875,454,970x = 116,222,027,728,785,332,240,384
  5. Step 5: Solve for x
    x = 116,222,027,728,785,332,240,384/157,875,454,970
  6. Step 6: Final answer
    x = 736,162,741,389.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.