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Finding the Third Proportional to 145,438,370 and 204,078,828

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Solution

The third proportional to 145,438,370 and 204,078,828 is: 286,363,000.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,438,370 : 204,078,828 = 204,078,828 : x
  2. Step 2: Convert to fraction form
    145,438,370/204,078,828 = 204,078,828/x
  3. Step 3: Cross multiply
    145,438,370x = 204,078,828 × 204,078,828
  4. Step 4: Simplify right side
    145,438,370x = 41,648,168,037,853,584
  5. Step 5: Solve for x
    x = 41,648,168,037,853,584/145,438,370
  6. Step 6: Final answer
    x = 286,363,000.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.