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Finding the Third Proportional to 170,582,901.75 and 262,034,038.13

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Solution

The third proportional to 170,582,901.75 and 262,034,038.13 is: 402,513,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,582,901.75 : 262,034,038.13 = 262,034,038.13 : x
  2. Step 2: Convert to fraction form
    170,582,901.75/262,034,038.13 = 262,034,038.13/x
  3. Step 3: Cross multiply
    170,582,901.75x = 262,034,038.13 × 262,034,038.13
  4. Step 4: Simplify right side
    170,582,901.75x = 68,661,837,136,093,952
  5. Step 5: Solve for x
    x = 68,661,837,136,093,952/170,582,901.75
  6. Step 6: Final answer
    x = 402,513,009.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.