Finding the Third Proportional to 105,412,630,928 and 160,588,851,656
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Solution
The third proportional to 105,412,630,928 and 160,588,851,656 is: 244,646,007,306.35
Step by Step Solution
- Step 1: Write the proportion equation
105,412,630,928 : 160,588,851,656 = 160,588,851,656 : x - Step 2: Convert to fraction form
105,412,630,928/160,588,851,656 = 160,588,851,656/x - Step 3: Cross multiply
105,412,630,928x = 160,588,851,656 × 160,588,851,656 - Step 4: Simplify right side
105,412,630,928x = 25,788,779,276,192,775,667,712 - Step 5: Solve for x
x = 25,788,779,276,192,775,667,712/105,412,630,928 - Step 6: Final answer
x = 244,646,007,306.35
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.