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Finding the Third Proportional to 229,323,768 and 498,956,160

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Solution

The third proportional to 229,323,768 and 498,956,160 is: 1,085,614,682.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,323,768 : 498,956,160 = 498,956,160 : x
  2. Step 2: Convert to fraction form
    229,323,768/498,956,160 = 498,956,160/x
  3. Step 3: Cross multiply
    229,323,768x = 498,956,160 × 498,956,160
  4. Step 4: Simplify right side
    229,323,768x = 248,957,249,601,945,600
  5. Step 5: Solve for x
    x = 248,957,249,601,945,600/229,323,768
  6. Step 6: Final answer
    x = 1,085,614,682.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.