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Finding the Third Proportional to 119,708,600 and 257,318,944

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Solution

The third proportional to 119,708,600 and 257,318,944 is: 553,118,480.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,708,600 : 257,318,944 = 257,318,944 : x
  2. Step 2: Convert to fraction form
    119,708,600/257,318,944 = 257,318,944/x
  3. Step 3: Cross multiply
    119,708,600x = 257,318,944 × 257,318,944
  4. Step 4: Simplify right side
    119,708,600x = 66,213,038,941,275,136
  5. Step 5: Solve for x
    x = 66,213,038,941,275,136/119,708,600
  6. Step 6: Final answer
    x = 553,118,480.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.