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Finding the Third Proportional to 147,577,899.38 and 322,956,941.63

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Solution

The third proportional to 147,577,899.38 and 322,956,941.63 is: 706,753,427.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,577,899.38 : 322,956,941.63 = 322,956,941.63 : x
  2. Step 2: Convert to fraction form
    147,577,899.38/322,956,941.63 = 322,956,941.63/x
  3. Step 3: Cross multiply
    147,577,899.38x = 322,956,941.63 × 322,956,941.63
  4. Step 4: Simplify right side
    147,577,899.38x = 104,301,186,143,773,664
  5. Step 5: Solve for x
    x = 104,301,186,143,773,664/147,577,899.38
  6. Step 6: Final answer
    x = 706,753,427.07

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