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Finding the Third Proportional to 282,101,726 and 435,918,783

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Solution

The third proportional to 282,101,726 and 435,918,783 is: 673,605,185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,101,726 : 435,918,783 = 435,918,783 : x
  2. Step 2: Convert to fraction form
    282,101,726/435,918,783 = 435,918,783/x
  3. Step 3: Cross multiply
    282,101,726x = 435,918,783 × 435,918,783
  4. Step 4: Simplify right side
    282,101,726x = 190,025,185,372,201,088
  5. Step 5: Solve for x
    x = 190,025,185,372,201,088/282,101,726
  6. Step 6: Final answer
    x = 673,605,185.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.