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Finding the Third Proportional to 145,346,232 and 318,941,944

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Solution

The third proportional to 145,346,232 and 318,941,944 is: 699,873,414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,346,232 : 318,941,944 = 318,941,944 : x
  2. Step 2: Convert to fraction form
    145,346,232/318,941,944 = 318,941,944/x
  3. Step 3: Cross multiply
    145,346,232x = 318,941,944 × 318,941,944
  4. Step 4: Simplify right side
    145,346,232x = 101,723,963,642,499,136
  5. Step 5: Solve for x
    x = 101,723,963,642,499,136/145,346,232
  6. Step 6: Final answer
    x = 699,873,414.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.