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Finding the Third Proportional to 157,097,368 and 330,474,760

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Solution

The third proportional to 157,097,368 and 330,474,760 is: 695,196,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,097,368 : 330,474,760 = 330,474,760 : x
  2. Step 2: Convert to fraction form
    157,097,368/330,474,760 = 330,474,760/x
  3. Step 3: Cross multiply
    157,097,368x = 330,474,760 × 330,474,760
  4. Step 4: Simplify right side
    157,097,368x = 109,213,566,997,057,600
  5. Step 5: Solve for x
    x = 109,213,566,997,057,600/157,097,368
  6. Step 6: Final answer
    x = 695,196,669.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.