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Finding the Third Proportional to 130,085,352 and 201,543,228

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Solution

The third proportional to 130,085,352 and 201,543,228 is: 312,254,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,085,352 : 201,543,228 = 201,543,228 : x
  2. Step 2: Convert to fraction form
    130,085,352/201,543,228 = 201,543,228/x
  3. Step 3: Cross multiply
    130,085,352x = 201,543,228 × 201,543,228
  4. Step 4: Simplify right side
    130,085,352x = 40,619,672,752,659,984
  5. Step 5: Solve for x
    x = 40,619,672,752,659,984/130,085,352
  6. Step 6: Final answer
    x = 312,254,009.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.