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Finding the Third Proportional to 228,112,009.31 and 468,316,810.69

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Solution

The third proportional to 228,112,009.31 and 468,316,810.69 is: 961,460,274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,112,009.31 : 468,316,810.69 = 468,316,810.69 : x
  2. Step 2: Convert to fraction form
    228,112,009.31/468,316,810.69 = 468,316,810.69/x
  3. Step 3: Cross multiply
    228,112,009.31x = 468,316,810.69 × 468,316,810.69
  4. Step 4: Simplify right side
    228,112,009.31x = 219,320,635,172,511,712
  5. Step 5: Solve for x
    x = 219,320,635,172,511,712/228,112,009.31
  6. Step 6: Final answer
    x = 961,460,274.86

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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.