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Finding the Third Proportional to 197,417,232 and 315,254,808

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Solution

The third proportional to 197,417,232 and 315,254,808 is: 503,429,173.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,417,232 : 315,254,808 = 315,254,808 : x
  2. Step 2: Convert to fraction form
    197,417,232/315,254,808 = 315,254,808/x
  3. Step 3: Cross multiply
    197,417,232x = 315,254,808 × 315,254,808
  4. Step 4: Simplify right side
    197,417,232x = 99,385,593,967,116,864
  5. Step 5: Solve for x
    x = 99,385,593,967,116,864/197,417,232
  6. Step 6: Final answer
    x = 503,429,173.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.