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Finding the Third Proportional to 114,466,176 and 248,322,618

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Solution

The third proportional to 114,466,176 and 248,322,618 is: 538,710,427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,466,176 : 248,322,618 = 248,322,618 : x
  2. Step 2: Convert to fraction form
    114,466,176/248,322,618 = 248,322,618/x
  3. Step 3: Cross multiply
    114,466,176x = 248,322,618 × 248,322,618
  4. Step 4: Simplify right side
    114,466,176x = 61,664,122,610,373,920
  5. Step 5: Solve for x
    x = 61,664,122,610,373,920/114,466,176
  6. Step 6: Final answer
    x = 538,710,427.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.