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Finding the Third Proportional to 80,966,106 and 176,308,065

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Solution

The third proportional to 80,966,106 and 176,308,065 is: 383,920,325.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,966,106 : 176,308,065 = 176,308,065 : x
  2. Step 2: Convert to fraction form
    80,966,106/176,308,065 = 176,308,065/x
  3. Step 3: Cross multiply
    80,966,106x = 176,308,065 × 176,308,065
  4. Step 4: Simplify right side
    80,966,106x = 31,084,533,784,044,224
  5. Step 5: Solve for x
    x = 31,084,533,784,044,224/80,966,106
  6. Step 6: Final answer
    x = 383,920,325.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.