Finding the Third Proportional to 97,473,946.50 and 214,076,970
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Solution
The third proportional to 97,473,946.50 and 214,076,970 is: 470,166,139.06
Step by Step Solution
- Step 1: Write the proportion equation
97,473,946.50 : 214,076,970 = 214,076,970 : x - Step 2: Convert to fraction form
97,473,946.50/214,076,970 = 214,076,970/x - Step 3: Cross multiply
97,473,946.50x = 214,076,970 × 214,076,970 - Step 4: Simplify right side
97,473,946.50x = 45,828,949,084,380,896 - Step 5: Solve for x
x = 45,828,949,084,380,896/97,473,946.50 - Step 6: Final answer
x = 470,166,139.06
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.