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Finding the Third Proportional to 102,006,546 and 153,308,775

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Solution

The third proportional to 102,006,546 and 153,308,775 is: 230,412,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,006,546 : 153,308,775 = 153,308,775 : x
  2. Step 2: Convert to fraction form
    102,006,546/153,308,775 = 153,308,775/x
  3. Step 3: Cross multiply
    102,006,546x = 153,308,775 × 153,308,775
  4. Step 4: Simplify right side
    102,006,546x = 23,503,580,492,000,624
  5. Step 5: Solve for x
    x = 23,503,580,492,000,624/102,006,546
  6. Step 6: Final answer
    x = 230,412,472.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.