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Finding the Third Proportional to 51,679,050.75 and 112,746,643.88

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Solution

The third proportional to 51,679,050.75 and 112,746,643.88 is: 245,975,990.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,679,050.75 : 112,746,643.88 = 112,746,643.88 : x
  2. Step 2: Convert to fraction form
    51,679,050.75/112,746,643.88 = 112,746,643.88/x
  3. Step 3: Cross multiply
    51,679,050.75x = 112,746,643.88 × 112,746,643.88
  4. Step 4: Simplify right side
    51,679,050.75x = 12,711,805,705,076,076
  5. Step 5: Solve for x
    x = 12,711,805,705,076,076/51,679,050.75
  6. Step 6: Final answer
    x = 245,975,990.67

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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.