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Finding the Third Proportional to 228,112,012.69 and 468,316,819.13

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Solution

The third proportional to 228,112,012.69 and 468,316,819.13 is: 961,460,295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,112,012.69 : 468,316,819.13 = 468,316,819.13 : x
  2. Step 2: Convert to fraction form
    228,112,012.69/468,316,819.13 = 468,316,819.13/x
  3. Step 3: Cross multiply
    228,112,012.69x = 468,316,819.13 × 468,316,819.13
  4. Step 4: Simplify right side
    228,112,012.69x = 219,320,643,075,357,952
  5. Step 5: Solve for x
    x = 219,320,643,075,357,952/228,112,012.69
  6. Step 6: Final answer
    x = 961,460,295.28

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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.