Finding the Third Proportional to 149,288,056,659 and 329,005,773,283.50
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Solution
The third proportional to 149,288,056,659 and 329,005,773,283.50 is: 725,073,400,219.31
Step by Step Solution
- Step 1: Write the proportion equation
149,288,056,659 : 329,005,773,283.50 = 329,005,773,283.50 : x - Step 2: Convert to fraction form
149,288,056,659/329,005,773,283.50 = 329,005,773,283.50/x - Step 3: Cross multiply
149,288,056,659x = 329,005,773,283.50 × 329,005,773,283.50 - Step 4: Simplify right side
149,288,056,659x = 108,244,798,853,873,798,217,728 - Step 5: Solve for x
x = 108,244,798,853,873,798,217,728/149,288,056,659 - Step 6: Final answer
x = 725,073,400,219.31
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.