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Finding the Third Proportional to 46,006,953.75 and 98,477,950.50

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Solution

The third proportional to 46,006,953.75 and 98,477,950.50 is: 210,792,194.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,006,953.75 : 98,477,950.50 = 98,477,950.50 : x
  2. Step 2: Convert to fraction form
    46,006,953.75/98,477,950.50 = 98,477,950.50/x
  3. Step 3: Cross multiply
    46,006,953.75x = 98,477,950.50 × 98,477,950.50
  4. Step 4: Simplify right side
    46,006,953.75x = 9,697,906,734,680,450
  5. Step 5: Solve for x
    x = 9,697,906,734,680,450/46,006,953.75
  6. Step 6: Final answer
    x = 210,792,194.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.