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Finding the Third Proportional to 157,875,454,908 and 340,913,519,316

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Solution

The third proportional to 157,875,454,908 and 340,913,519,316 is: 736,162,741,194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,875,454,908 : 340,913,519,316 = 340,913,519,316 : x
  2. Step 2: Convert to fraction form
    157,875,454,908/340,913,519,316 = 340,913,519,316/x
  3. Step 3: Cross multiply
    157,875,454,908x = 340,913,519,316 × 340,913,519,316
  4. Step 4: Simplify right side
    157,875,454,908x = 116,222,027,652,420,713,054,208
  5. Step 5: Solve for x
    x = 116,222,027,652,420,713,054,208/157,875,454,908
  6. Step 6: Final answer
    x = 736,162,741,194.62

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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.