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Finding the Third Proportional to 228,111,691.22 and 468,316,269.84

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Solution

The third proportional to 228,111,691.22 and 468,316,269.84 is: 961,459,394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,111,691.22 : 468,316,269.84 = 468,316,269.84 : x
  2. Step 2: Convert to fraction form
    228,111,691.22/468,316,269.84 = 468,316,269.84/x
  3. Step 3: Cross multiply
    228,111,691.22x = 468,316,269.84 × 468,316,269.84
  4. Step 4: Simplify right side
    228,111,691.22x = 219,320,128,600,364,064
  5. Step 5: Solve for x
    x = 219,320,128,600,364,064/228,111,691.22
  6. Step 6: Final answer
    x = 961,459,394.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.