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Finding the Third Proportional to 362,339,281,981.50 and 540,366,759,465

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Solution

The third proportional to 362,339,281,981.50 and 540,366,759,465 is: 805,864,142,407.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,339,281,981.50 : 540,366,759,465 = 540,366,759,465 : x
  2. Step 2: Convert to fraction form
    362,339,281,981.50/540,366,759,465 = 540,366,759,465/x
  3. Step 3: Cross multiply
    362,339,281,981.50x = 540,366,759,465 × 540,366,759,465
  4. Step 4: Simplify right side
    362,339,281,981.50x = 291,996,234,734,705,152,360,448
  5. Step 5: Solve for x
    x = 291,996,234,734,705,152,360,448/362,339,281,981.50
  6. Step 6: Final answer
    x = 805,864,142,407.87

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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.