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Finding the Third Proportional to 282,875,271.75 and 422,570,881.13

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Solution

The third proportional to 282,875,271.75 and 422,570,881.13 is: 631,254,009.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,875,271.75 : 422,570,881.13 = 422,570,881.13 : x
  2. Step 2: Convert to fraction form
    282,875,271.75/422,570,881.13 = 422,570,881.13/x
  3. Step 3: Cross multiply
    282,875,271.75x = 422,570,881.13 × 422,570,881.13
  4. Step 4: Simplify right side
    282,875,271.75x = 178,566,149,574,758,880
  5. Step 5: Solve for x
    x = 178,566,149,574,758,880/282,875,271.75
  6. Step 6: Final answer
    x = 631,254,009.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.