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Finding the Third Proportional to 46,284,094.13 and 99,533,783.25

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Solution

The third proportional to 46,284,094.13 and 99,533,783.25 is: 214,047,054.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,284,094.13 : 99,533,783.25 = 99,533,783.25 : x
  2. Step 2: Convert to fraction form
    46,284,094.13/99,533,783.25 = 99,533,783.25/x
  3. Step 3: Cross multiply
    46,284,094.13x = 99,533,783.25 × 99,533,783.25
  4. Step 4: Simplify right side
    46,284,094.13x = 9,906,974,008,057,980
  5. Step 5: Solve for x
    x = 9,906,974,008,057,980/46,284,094.13
  6. Step 6: Final answer
    x = 214,047,054.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.