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Finding the Third Proportional to 282,875,271.50 and 422,570,880.50

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Solution

The third proportional to 282,875,271.50 and 422,570,880.50 is: 631,254,008.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,875,271.50 : 422,570,880.50 = 422,570,880.50 : x
  2. Step 2: Convert to fraction form
    282,875,271.50/422,570,880.50 = 422,570,880.50/x
  3. Step 3: Cross multiply
    282,875,271.50x = 422,570,880.50 × 422,570,880.50
  4. Step 4: Simplify right side
    282,875,271.50x = 178,566,149,046,545,280
  5. Step 5: Solve for x
    x = 178,566,149,046,545,280/282,875,271.50
  6. Step 6: Final answer
    x = 631,254,008.52

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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.