Finding the Third Proportional to 105,177,502,928.25 and 213,281,692,731.29
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Solution
The third proportional to 105,177,502,928.25 and 213,281,692,731.29 is: 432,498,197,693.06
Step by Step Solution
- Step 1: Write the proportion equation
105,177,502,928.25 : 213,281,692,731.29 = 213,281,692,731.29 : x - Step 2: Convert to fraction form
105,177,502,928.25/213,281,692,731.29 = 213,281,692,731.29/x - Step 3: Cross multiply
105,177,502,928.25x = 213,281,692,731.29 × 213,281,692,731.29 - Step 4: Simplify right side
105,177,502,928.25x = 45,489,080,454,324,405,927,936 - Step 5: Solve for x
x = 45,489,080,454,324,405,927,936/105,177,502,928.25 - Step 6: Final answer
x = 432,498,197,693.06
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.