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Finding the Third Proportional to 114,292,626.75 and 172,501,822.13

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Solution

The third proportional to 114,292,626.75 and 172,501,822.13 is: 260,356,940.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,292,626.75 : 172,501,822.13 = 172,501,822.13 : x
  2. Step 2: Convert to fraction form
    114,292,626.75/172,501,822.13 = 172,501,822.13/x
  3. Step 3: Cross multiply
    114,292,626.75x = 172,501,822.13 × 172,501,822.13
  4. Step 4: Simplify right side
    114,292,626.75x = 29,756,878,636,445,140
  5. Step 5: Solve for x
    x = 29,756,878,636,445,140/114,292,626.75
  6. Step 6: Final answer
    x = 260,356,940.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.