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Finding the Third Proportional to 98,224,699 and 163,697,966

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Solution

The third proportional to 98,224,699 and 163,697,966 is: 272,813,501.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,224,699 : 163,697,966 = 163,697,966 : x
  2. Step 2: Convert to fraction form
    98,224,699/163,697,966 = 163,697,966/x
  3. Step 3: Cross multiply
    98,224,699x = 163,697,966 × 163,697,966
  4. Step 4: Simplify right side
    98,224,699x = 26,797,024,072,537,156
  5. Step 5: Solve for x
    x = 26,797,024,072,537,156/98,224,699
  6. Step 6: Final answer
    x = 272,813,501.55

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.