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Finding the Third Proportional to 46,410,483.94 and 98,353,256.48

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Solution

The third proportional to 46,410,483.94 and 98,353,256.48 is: 208,430,557.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,410,483.94 : 98,353,256.48 = 98,353,256.48 : x
  2. Step 2: Convert to fraction form
    46,410,483.94/98,353,256.48 = 98,353,256.48/x
  3. Step 3: Cross multiply
    46,410,483.94x = 98,353,256.48 × 98,353,256.48
  4. Step 4: Simplify right side
    46,410,483.94x = 9,673,363,061,081,252
  5. Step 5: Solve for x
    x = 9,673,363,061,081,252/46,410,483.94
  6. Step 6: Final answer
    x = 208,430,557.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.