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Finding the Third Proportional to 145,792,416.75 and 318,813,084.75

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Solution

The third proportional to 145,792,416.75 and 318,813,084.75 is: 697,167,831.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,792,416.75 : 318,813,084.75 = 318,813,084.75 : x
  2. Step 2: Convert to fraction form
    145,792,416.75/318,813,084.75 = 318,813,084.75/x
  3. Step 3: Cross multiply
    145,792,416.75x = 318,813,084.75 × 318,813,084.75
  4. Step 4: Simplify right side
    145,792,416.75x = 101,641,783,007,810,688
  5. Step 5: Solve for x
    x = 101,641,783,007,810,688/145,792,416.75
  6. Step 6: Final answer
    x = 697,167,831.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.