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Finding the Third Proportional to 176,315,734.50 and 411,726,090.75

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Solution

The third proportional to 176,315,734.50 and 411,726,090.75 is: 961,447,792.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,315,734.50 : 411,726,090.75 = 411,726,090.75 : x
  2. Step 2: Convert to fraction form
    176,315,734.50/411,726,090.75 = 411,726,090.75/x
  3. Step 3: Cross multiply
    176,315,734.50x = 411,726,090.75 × 411,726,090.75
  4. Step 4: Simplify right side
    176,315,734.50x = 169,518,373,804,277,248
  5. Step 5: Solve for x
    x = 169,518,373,804,277,248/176,315,734.50
  6. Step 6: Final answer
    x = 961,447,792.99

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.