Finding the Third Proportional to 230,174,208 and 493,179,624
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Solution
The third proportional to 230,174,208 and 493,179,624 is: 1,056,704,587.55
Step by Step Solution
- Step 1: Write the proportion equation
230,174,208 : 493,179,624 = 493,179,624 : x - Step 2: Convert to fraction form
230,174,208/493,179,624 = 493,179,624/x - Step 3: Cross multiply
230,174,208x = 493,179,624 × 493,179,624 - Step 4: Simplify right side
230,174,208x = 243,226,141,528,781,376 - Step 5: Solve for x
x = 243,226,141,528,781,376/230,174,208 - Step 6: Final answer
x = 1,056,704,587.55
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.