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Finding the Third Proportional to 46,446,804 and 98,430,984

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Solution

The third proportional to 46,446,804 and 98,430,984 is: 208,596,884.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,446,804 : 98,430,984 = 98,430,984 : x
  2. Step 2: Convert to fraction form
    46,446,804/98,430,984 = 98,430,984/x
  3. Step 3: Cross multiply
    46,446,804x = 98,430,984 × 98,430,984
  4. Step 4: Simplify right side
    46,446,804x = 9,688,658,611,208,256
  5. Step 5: Solve for x
    x = 9,688,658,611,208,256/46,446,804
  6. Step 6: Final answer
    x = 208,596,884.54

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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.