Finding the Third Proportional to 97,700,733,508 and 211,624,788,560
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Solution
The third proportional to 97,700,733,508 and 211,624,788,560 is: 458,390,121,803.92
Step by Step Solution
- Step 1: Write the proportion equation
97,700,733,508 : 211,624,788,560 = 211,624,788,560 : x - Step 2: Convert to fraction form
97,700,733,508/211,624,788,560 = 211,624,788,560/x - Step 3: Cross multiply
97,700,733,508x = 211,624,788,560 × 211,624,788,560 - Step 4: Simplify right side
97,700,733,508x = 44,785,051,133,064,710,717,440 - Step 5: Solve for x
x = 44,785,051,133,064,710,717,440/97,700,733,508 - Step 6: Final answer
x = 458,390,121,803.92
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.