Finding the Third Proportional to 108,105,820 and 233,217,724
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Solution
The third proportional to 108,105,820 and 233,217,724 is: 503,122,836.38
Step by Step Solution
- Step 1: Write the proportion equation
108,105,820 : 233,217,724 = 233,217,724 : x - Step 2: Convert to fraction form
108,105,820/233,217,724 = 233,217,724/x - Step 3: Cross multiply
108,105,820x = 233,217,724 × 233,217,724 - Step 4: Simplify right side
108,105,820x = 54,390,506,787,740,176 - Step 5: Solve for x
x = 54,390,506,787,740,176/108,105,820 - Step 6: Final answer
x = 503,122,836.38
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.