Finding the Third Proportional to 106,567,386 and 233,064,660
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Solution
The third proportional to 106,567,386 and 233,064,660 is: 509,716,319.22
Step by Step Solution
- Step 1: Write the proportion equation
106,567,386 : 233,064,660 = 233,064,660 : x - Step 2: Convert to fraction form
106,567,386/233,064,660 = 233,064,660/x - Step 3: Cross multiply
106,567,386x = 233,064,660 × 233,064,660 - Step 4: Simplify right side
106,567,386x = 54,319,135,740,915,600 - Step 5: Solve for x
x = 54,319,135,740,915,600/106,567,386 - Step 6: Final answer
x = 509,716,319.22
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.