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Finding the Third Proportional to 102,465,486.19 and 157,398,208.03

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Solution

The third proportional to 102,465,486.19 and 157,398,208.03 is: 241,780,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,465,486.19 : 157,398,208.03 = 157,398,208.03 : x
  2. Step 2: Convert to fraction form
    102,465,486.19/157,398,208.03 = 157,398,208.03/x
  3. Step 3: Cross multiply
    102,465,486.19x = 157,398,208.03 × 157,398,208.03
  4. Step 4: Simplify right side
    102,465,486.19x = 24,774,195,891,448,652
  5. Step 5: Solve for x
    x = 24,774,195,891,448,652/102,465,486.19
  6. Step 6: Final answer
    x = 241,780,884.60

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.