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Finding the Third Proportional to 141,315,470 and 213,316,725

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Solution

The third proportional to 141,315,470 and 213,316,725 is: 322,003,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,315,470 : 213,316,725 = 213,316,725 : x
  2. Step 2: Convert to fraction form
    141,315,470/213,316,725 = 213,316,725/x
  3. Step 3: Cross multiply
    141,315,470x = 213,316,725 × 213,316,725
  4. Step 4: Simplify right side
    141,315,470x = 45,504,025,164,725,624
  5. Step 5: Solve for x
    x = 45,504,025,164,725,624/141,315,470
  6. Step 6: Final answer
    x = 322,003,140.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.