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Finding the Third Proportional to 97,988,370 and 213,907,224

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Solution

The third proportional to 97,988,370 and 213,907,224 is: 466,956,440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,988,370 : 213,907,224 = 213,907,224 : x
  2. Step 2: Convert to fraction form
    97,988,370/213,907,224 = 213,907,224/x
  3. Step 3: Cross multiply
    97,988,370x = 213,907,224 × 213,907,224
  4. Step 4: Simplify right side
    97,988,370x = 45,756,300,479,386,176
  5. Step 5: Solve for x
    x = 45,756,300,479,386,176/97,988,370
  6. Step 6: Final answer
    x = 466,956,440.64

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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.