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Finding the Third Proportional to 262,708,831.13 and 369,532,760.63

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Solution

The third proportional to 262,708,831.13 and 369,532,760.63 is: 519,793,950.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,708,831.13 : 369,532,760.63 = 369,532,760.63 : x
  2. Step 2: Convert to fraction form
    262,708,831.13/369,532,760.63 = 369,532,760.63/x
  3. Step 3: Cross multiply
    262,708,831.13x = 369,532,760.63 × 369,532,760.63
  4. Step 4: Simplify right side
    262,708,831.13x = 136,554,461,175,133,552
  5. Step 5: Solve for x
    x = 136,554,461,175,133,552/262,708,831.13
  6. Step 6: Final answer
    x = 519,793,950.55

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.