Finding the Third Proportional to 97,038 and 147,307.50
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Solution
The third proportional to 97,038 and 147,307.50 is: 223,618.58
Step by Step Solution
- Step 1: Write the proportion equation
97,038 : 147,307.50 = 147,307.50 : x - Step 2: Convert to fraction form
97,038/147,307.50 = 147,307.50/x - Step 3: Cross multiply
97,038x = 147,307.50 × 147,307.50 - Step 4: Simplify right side
97,038x = 21,699,499,556.25 - Step 5: Solve for x
x = 21,699,499,556.25/97,038 - Step 6: Final answer
x = 223,618.58
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.