Finding the Third Proportional to 193,875,140,787 and 424,272,108,282
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Solution
The third proportional to 193,875,140,787 and 424,272,108,282 is: 928,467,781,559.56
Step by Step Solution
- Step 1: Write the proportion equation
193,875,140,787 : 424,272,108,282 = 424,272,108,282 : x - Step 2: Convert to fraction form
193,875,140,787/424,272,108,282 = 424,272,108,282/x - Step 3: Cross multiply
193,875,140,787x = 424,272,108,282 × 424,272,108,282 - Step 4: Simplify right side
193,875,140,787x = 180,006,821,866,053,119,770,624 - Step 5: Solve for x
x = 180,006,821,866,053,119,770,624/193,875,140,787 - Step 6: Final answer
x = 928,467,781,559.56
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.