Finding the Third Proportional to 109,645,248,728 and 147,937,185,300
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Solution
The third proportional to 109,645,248,728 and 147,937,185,300 is: 199,601,998,703.82
Step by Step Solution
- Step 1: Write the proportion equation
109,645,248,728 : 147,937,185,300 = 147,937,185,300 : x - Step 2: Convert to fraction form
109,645,248,728/147,937,185,300 = 147,937,185,300/x - Step 3: Cross multiply
109,645,248,728x = 147,937,185,300 × 147,937,185,300 - Step 4: Simplify right side
109,645,248,728x = 21,885,410,794,486,536,077,312 - Step 5: Solve for x
x = 21,885,410,794,486,536,077,312/109,645,248,728 - Step 6: Final answer
x = 199,601,998,703.82
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.